Non-smooth atomic decomposition of variable 2-microlocal Besov-type and Triebel-Lizorkin-type spaces
From MaRDI portal
Publication:2034997
DOI10.1007/s43037-021-00132-yzbMath1475.46035arXiv2011.08490OpenAlexW3164677469MaRDI QIDQ2034997
Publication date: 23 June 2021
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.08490
atomspointwise multipliersvariable exponentsBesov-type spaces2-microlocal spaceslocal meansTriebel-Lizorkin-type spacesPeetre maximal operator
Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)
Related Items
Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator, Non-smooth atomic decomposition of Triebel-Lizorkin-type spaces, Unnamed Item, Anisotropic mixed-norm Campanato-type spaces with applications to duals of anisotropic mixed-norm Hardy spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On 2-microlocal spaces with all exponents variable
- Hardy spaces with variable exponents and generalized Campanato spaces
- On trace spaces of 2-microlocal type spaces
- Characterizations of Besov-type and Triebel-Lizorkin-type spaces via maximal functions and local means
- Atomic, molecular and wavelet decomposition of 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability
- Lebesgue and Sobolev spaces with variable exponents
- Spaces of variable smoothness and integrability: characterizations by local means and ball means of differences
- Besov spaces with variable smoothness and integrability
- Non-smooth atomic decomposition of 2-microlocal spaces and application to pointwise multipliers
- Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications
- Morrey and Campanato meet Besov, Lizorkin and Triebel
- 2-microlocal Besov and Triebel-Lizorkin spaces of variable integrability
- Function spaces of variable smoothness and integrability
- On spaces of Triebel-Lizorkin type
- Intrinsic atomic characterization of 2-microlocal spaces with variable exponents on domains
- Intrinsic characterization and the extension operator in variable exponent function spaces on special Lipschitz domains
- Variable 2-microlocal Besov-Triebel-Lizorkin-type spaces
- Intrinsic atomic characterizations of function spaces on domains
- Local function spaces, heat and Navier-Stokes equations
- Atomic decomposition of Besov-type and Triebel-Lizorkin-type spaces
- Triebel-Lizorkin type spaces with variable exponents
- Hybrid function spaces, heat and Navier-Stokes equations
- Besov-type spaces with variable smoothness and integrability
- Ball average characterizations of variable Besov-type spaces
- A note on the spaces of variable integrability and summability of Almeida and Hästö
- A new framework for generalized Besov-type and Triebel–Lizorkin-type spaces
- On trace spaces of 2-microlocal Besov spaces with variable integrability
- 2-Microlocal Besov Spaces
- Some properties of Morrey type Besov-Triebel spaces
- Fractals and Spectra
- The Campanato, Morrey and Hölder spaces on spaces of homogeneous type
- Pointwise multipliers for functions of weighted bounded mean oscillation
- Über konjugierte Exponentenfolgen
- Sobolev embeddings with variable exponent
- Franke–Jawerth embeddings for Besov and Triebel–Lizorkin spaces with variable exponents
- Maximal function on generalized Lebesgue spaces L^p(⋅)
- Atomic representations in function spaces and applications to pointwise multipliers and diffeomorphisms, a new approach
- Characterization of Triebel–Lizorkin type spaces with variable exponents via maximal functions, local means and non‐smooth atomic decompositions
