Bourgain-Brezis-Mironescu-type characterization of inhomogeneous ball Banach Sobolev spaces on extension domains

DOI10.1007/S12220-024-01737-ZMaRDI QIDQ6611170

Chenfeng Zhu, Dachun Yang, Wen Yuan

Publication date: 26 September 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Could not fetch data.

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

• A new variational characterization of Sobolev spaces
• The BBM formula revisited
• A variation norm Carleson theorem
• Hardy spaces with variable exponents and generalized Campanato spaces
• Hitchhiker's guide to the fractional Sobolev spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Orlicz-Hardy spaces and their duals
• Real-variable theory of Musielak-Orlicz Hardy spaces
• Uniform estimates and limiting arguments for nonlocal minimal surfaces
• Über eine gewisse Klasse von Räumen vom Typus \(B\).
• Über die Verallgemeinerung des Begriffes der zueinander konjugierten Potenzen.
• Gradient potential estimates
• Lebesgue and Sobolev spaces with variable exponents
• Characterization of Sobolev and BV spaces
• Unboundedness properties of smoothness Morrey spaces of regular distributions on domains
• Theory of Besov spaces
• Estimates for translation invariant operators in \(L^p\) spaces
• The spaces \(L^ p\), with mixed norm
• Some embeddings of Morrey spaces with critical smoothness
• Orlicz spaces associated to a quasi-Banach function space: applications to vector measures and interpolation
• Morrey and Campanato meet Besov, Lizorkin and Triebel
• Function spaces of variable smoothness and integrability
• Uniform domains
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Lifting in Sobolev spaces
• Global \(W^{1,p(\cdot)}\) estimate for renormalized solutions of quasilinear equations with measure data on Reifenberg domains
• Morrey spaces on domains: different approaches and growth envelopes
• Existence of a minimal non-scattering solution to the mass-subcritical generalized Korteweg-de Vries equation
• Representation and uniqueness for boundary value elliptic problems via first order systems
• Anisotropic mixed-norm Hardy spaces
• Uniform, Sobolev extension and quasiconformal circle domains
• Limiting embedding theorems for \(W^{s,p}\) when \(s\uparrow 1\) and applications
• Boundedness of some sublinear operators on Herz spaces
• Uniform domains and the ubiquitous quasidisk
• Herz spaces meet Morrey type spaces and complementary Morrey type spaces
• Operators on Orlicz-slice spaces and Orlicz-slice Hardy spaces
• Erdélyi-Kober fractional integral operators on ball Banach function spaces
• Atomic decomposition for mixed Morrey spaces
• The John-Nirenberg inequality in ball Banach function spaces and application to characterization of BMO
• New ball Campanato-type function spaces and their applications
• Sobolev spaces revisited
• Bourgain-Morrey spaces and their applications to boundedness of operators
• New Brezis-van Schaftingen-Yung-Sobolev type inequalities connected with maximal inequalities and one parameter families of operators
• Spaces of Besov-Sobolev type and a problem on nonlinear approximation
• Real-variable theory of Hardy spaces associated with generalized Herz spaces of Rafeiro and Samko
• Fractional integral operators on Orlicz slice Hardy spaces
• 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
• Poincaré inequality meets Brezis-Van Schaftingen-Yung formula on metric measure spaces
• Littlewood-Paley characterizations of Hardy-type spaces associated with ball quasi-Banach function spaces. In memory of Professor Carlos Berenstein
• Bourgain-Brezis-Mironescu domains
• Intrinsic square function characterizations of Hardy spaces associated with ball quasi-Banach function spaces
• Real-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operators
• Weak Hardy-type spaces associated with ball quasi-Banach function spaces. I: Decompositions with applications to boundedness of Calderón-Zygmund operators
• Dilation operators and integral operators on amalgam space \((L_p,l_q)\)
• Applications of Hardy spaces associated with ball quasi-Banach function spaces
• Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications
• Mixed Morrey spaces
• Tent space boundedness via extrapolation
• Wavelet transforms for homogeneous mixed-norm Triebel-Lizorkin spaces
• Anisotropic fractional Sobolev norms
• Distributions, Sobolev spaces, elliptic equations
• Some new characterizations of Sobolev spaces
• Polynomial approximation with doubling weights having finitely many zeros and singularities
• On L(p,q) spaces
• On the solutions of quasilinear elliptic partial differential equations.
• Calderón-Zygmund operators on amalgam spaces and in the discrete case
• Some new functional spaces
• On the theory of spaces \(\Lambda\)
• Weak Hardy-type spaces associated with ball quasi-Banach function spaces. II: Littlewood-Paley characterizations and real interpolation
• Bourgain-Brezis-Mironescu convergence via Triebel-Lizorkin spaces
• Bourgain-Brezis-Mironescu-Maz'ya-Shaposhnikova limit formulae for fractional Sobolev spaces via interpolation and extrapolation
• Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities
• Compactness characterizations of commutators on ball Banach function spaces
• Applications of Orlicz spaces
• The Fatou property of block spaces
• Pseudodifferential operators on mixed-norm Besov and Triebel-Lizorkin spaces
• Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent
• On Function Spaces with Mixed Norms — A Survey
• Nonlocal minimal surfaces
• The canonical seminorm on Weak L¹
• Maximal seminorms on Weak $L^{1}$
• Harmonic Analysis on Amalgams of L^P and l^q
• Injectivity theorems in plane and space
• Bilinear operators on Herz-type Hardy spaces
• Dual spaces of anisotropic mixed-norm Hardy spaces
• Notes on limits of Sobolev spaces and the continuity of interpolation scales
• Interpolation of Herz Spaces and Applications
• Maximal Operator in Variable Exponent Lebesgue Spaces on Unbounded Quasimetric Measure Spaces
• Global regularity estimates for non-divergence elliptic equations on weighted variable Lebesgue spaces
• Regularity Estimates for Nondivergence Parabolic Equations on Generalized Orlicz Spaces
• Fourier transform of Hardy spaces associated with ball quasi-Banach function spaces*
• Real-variable characterizations of local Orlicz-slice Hardy spaces with application to bilinear decompositions
• Morrey Spaces
• Classical Fourier Analysis
• Variable Hardy Spaces
• Fourier multipliers on anisotropic mixed-norm spaces of distributions
• Real-variable characterizations of Orlicz-slice Hardy spaces
• Embeddings of weighted Morrey spaces
• Hardy spaces for ball quasi-Banach function spaces
• Boundedness and compactness characterizations of Cauchy integral commutators on Morrey spaces
• Intermediate spaces and interpolation, the complex method
• Sobolev Spaces
• Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces
• Best approximation and moduli of smoothness for doubling weights
• Sharp Lorentz space estimates for rough operators
• Bourgain-Morrey spaces meet structure of Triebel-Lizorkin spaces
• Anisotropic versions of the Brezis-Van Schaftingen-Yung approach at \(s = 1\) and \(s = 0\)
• Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces
• Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces
• Riesz transform characterization of Hardy spaces associated with ball quasi-Banach function spaces
• Extrapolation in general quasi-Banach function spaces
• Mixed-norm Herz spaces and their applications in related Hardy spaces
• Banach function spaces done right
• Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains
• Bourgain-Morrey spaces mixed with structure of Besov spaces
• Gagliardo representation of norms of ball quasi-Banach function spaces
• The Bourgain-Brezis-Mironescu formula on ball Banach function spaces
• Families of functionals representing Sobolev norms
• Extrapolation of compactness on Banach function spaces
• Brezis-Seeger-Van Schaftingen-Yung-type characterization of homogeneous ball Banach Sobolev spaces and its applications
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)

Related Items (2)

Extension and embedding of Triebel-Lizorkin-type spaces built on ball quasi-Banach spaces ⋮ Generalized Frank characterizations of Muckenhoupt weights and homogeneous ball Banach Sobolev spaces

This page was built for publication: Bourgain-Brezis-Mironescu-type characterization of inhomogeneous ball Banach Sobolev spaces on extension domains

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6611170)