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Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities - MaRDI portal

Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities (Q2680545)

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Please use this page instead for the normal view: Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities

scientific article; zbMATH DE number 7637889

Language	Label	Description	Also known as
English	Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities	scientific article; zbMATH DE number 7637889

Statements

scholarly article

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Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities (English)

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Calculus of Variations and Partial Differential Equations

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publication date

4 January 2023

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full work available at URL

https://arxiv.org/abs/2109.04638

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MaRDI profile type

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Weighted inequalities for vector-valued maximal functions and singular integrals

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Representation and uniqueness for boundary value elliptic problems via first order systems

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Tent space boundedness via extrapolation

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The spaces \(L^ p\), with mixed norm

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Lifting in Sobolev spaces

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Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications

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Gagliardo-Nirenberg inequalities and non-inequalities: the full story

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Where Sobolev interacts with Gagliardo-Nirenberg

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The BBM formula revisited

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Sobolev spaces revisited

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Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail

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Nonlocal minimal surfaces

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Uniform estimates and limiting arguments for nonlocal minimal surfaces

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Littlewood-Paley characterizations of Hardy-type spaces associated with ball quasi-Banach function spaces. In memory of Professor Carlos Berenstein

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Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent

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Anisotropic mixed-norm Hardy spaces

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Discrete decomposition of homogeneous mixed-norm Besov spaces

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Fourier multipliers on anisotropic mixed-norm spaces of distributions

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Variable Lebesgue spaces. Foundations and harmonic analysis

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Weights, extrapolation and the theory of Rubio de Francia.

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Variable Hardy Spaces

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Poincaré inequality meets Brezis-Van Schaftingen-Yung formula on metric measure spaces

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Orlicz spaces associated to a quasi-Banach function space: applications to vector measures and interpolation

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Lebesgue and Sobolev spaces with variable exponents

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Function spaces of variable smoothness and integrability

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Bourgain-Brezis-Mironescu-Maz'ya-Shaposhnikova limit formulae for fractional Sobolev spaces via interpolation and extrapolation

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New Brezis-van Schaftingen-Yung-Sobolev type inequalities connected with maximal inequalities and one parameter families of operators

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Some weighted Gagliardo-Nirenberg inequalities and applications

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\(L^ P\)-spaces with mixed norm, for \(P\) a sequence

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Wavelet transforms for homogeneous mixed-norm Triebel-Lizorkin spaces

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Pseudodifferential operators on mixed-norm Besov and Triebel-Lizorkin spaces

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Classical Fourier Analysis

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A new formula for the \(L^p\) norm

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Unboundedness properties of smoothness Morrey spaces of regular distributions on domains

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Some embeddings of Morrey spaces with critical smoothness

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Morrey spaces on domains: different approaches and growth envelopes

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Embeddings of weighted Morrey spaces

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Distributions, Sobolev spaces, elliptic equations

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Atomic decomposition of Hardy-Morrey spaces with variable exponents

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Dilation operators and integral operators on amalgam space \((L_p,l_q)\)

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Erdélyi-Kober fractional integral operators on ball Banach function spaces

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Harmonic Analysis on Amalgams of <i>L<sup>P</sup> </i> and <i>l<sup>q</sup> </i>

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Estimates for translation invariant operators in \(L^p\) spaces

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Triebel–Lizorkin–Morrey spaces and differences

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Fourier transform of Hardy spaces associated with ball quasi-Banach function spaces*

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Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications

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Dual spaces of anisotropic mixed-norm Hardy spaces

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On Function Spaces with Mixed Norms — A Survey

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The John-Nirenberg inequality in ball Banach function spaces and application to characterization of BMO

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Decomposition of Hardy--Morrey spaces

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Gagliardo–Nirenberg inequalities in weighted Orlicz spaces

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Interpolation inequalities for derivatives in Orlicz spaces

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Calderón-Zygmund operators on amalgam spaces and in the discrete case

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Gagliardo-Nirenberg type inequality for variable exponent Lebesgue spaces

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Polynomial approximation with doubling weights having finitely many zeros and singularities

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A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure

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Best approximation and moduli of smoothness for doubling weights

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Gradient potential estimates

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Gagliardo-Nirenberg inequality for generalized Riesz potentials of functions in Musielak-Orlicz spaces

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Littlewood-Paley theory for variable exponent Lebesgue spaces and Gagliardo-Nirenberg inequality for Riesz potentials

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On the Solutions of Quasi-Linear Elliptic Partial Differential Equations

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Hardy spaces with variable exponents and generalized Campanato spaces

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Orlicz-Hardy spaces and their duals

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Hitchhiker's guide to the fractional Sobolev spaces

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Sharp weighted Sobolev and Gagliardo–Nirenberg inequalities on half-spaces via mass transport and consequences

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Mixed Morrey spaces

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Atomic decomposition for mixed Morrey spaces

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Applications of Orlicz spaces

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Theory of Besov spaces

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Weak Morrey spaces with applications

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Hardy spaces for ball quasi-Banach function spaces

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Predual spaces of Morrey spaces with non-doubling measures

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The Fatou property of block spaces

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On the Gagliardo-Nirenberg type inequality in the critical Sobolev-Morrey space

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Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces

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Compactness characterizations of commutators on ball Banach function spaces

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Theory of function spaces

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Applications of Hardy spaces associated with ball quasi-Banach function spaces

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Weak Hardy-type spaces associated with ball quasi-Banach function spaces. II: Littlewood-Paley characterizations and real interpolation

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Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: Littlewood-Paley characterizations with applications to boundedness of Calderón-Zygmund operators

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Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces

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Intrinsic square function characterizations of Hardy spaces associated with ball quasi-Banach function spaces

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Morrey and Campanato meet Besov, Lizorkin and Triebel

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New ball Campanato-type function spaces and their applications

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Weak Hardy-type spaces associated with ball quasi-Banach function spaces. I: Decompositions with applications to boundedness of Calderón-Zygmund operators

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Real-variable characterizations of Orlicz-slice Hardy spaces

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00526-022-02390-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:2680545

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