A unified approach to self-improving property via \(K\)-functionals
DOI10.1007/S00526-024-02833-2MaRDI QIDQ6635450
Sergey Tikhonov, Yinqin Li, Dachun Yang, Óscar Domínguez, Wen Yuan
Publication date: 12 November 2024
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Interpolation between normed linear spaces (46B70)
Cites Work
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- Characterization of polynomials and higher-order Sobolev spaces in terms of functionals involving difference quotients
- On functions with bounded \(n\)-th differences
- Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\)
- Sobolev inequalities with remainder terms
- An estimate in the spirit of Poincaré's inequality
- Limits of higher-order Besov spaces and sharp reiteration theorems
- On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
- Hypoelliptic second order differential equations
- 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
- How to recognize polynomials in higher order Sobolev spaces
- On functions of bounded mean oscillation
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Sobolev Spaces and their Relatives: Local Polynomial Approximation Approach
- An Approach to Fractional Powers of Operators via Fractional Differences
- Logarithmic Sobolev Inequalities
- A note on convergence of semigroups
- Notes on limits of Sobolev spaces and the continuity of interpolation scales
- Besov classes on finite and infinite dimensional spaces
- On the limiting behaviour of some nonlocal seminorms: a new phenomenon
- A new approach to Nikolskii-Besov classes
- Modern Fourier Analysis
- Fractional Sobolev Inequalities: Symmetrization, Isoperimetry and Interpolation
- Hardy spaces for ball quasi-Banach function spaces
- A MULTIDIMENSIONAL ANALOG OF A THEOREM OF WHITNEY
- On limiting embeddings of Besov spaces
- Sobolev Maps to the Circle
- Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
- Strong converse inequalities
- The Bourgain-Brezis-Mironescu formula on ball Banach function spaces
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