General coorbit space theory for quasi-Banach spaces and inhomogeneous function spaces with variable smoothness and integrability
DOI10.1007/s00041-016-9505-7zbMath1431.42056arXiv1506.07346OpenAlexW2964309922MaRDI QIDQ1691987
Publication date: 25 January 2018
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.07346
atomic decompositionwavelet basescontinuous wavelet transformvariable integrability2-microlocal spacesPeetre maximal functionvariable smoothnessBesov-Lizorkin-Triebel type spacescoorbit space theory
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General harmonic expansions, frames (42C15)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Continuous characterizations of Besov-Lizorkin-Triebel spaces and new interpretations as coorbits
- Coorbit spaces with voice in a Fréchet space
- Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type
- Banach spaces related to integrable group representations and their atomic decompositions. I
- 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
- Continuous frames, function spaces, and the discretization problem
- Shearlet coorbit spaces and associated Banach frames
- Besov spaces with variable smoothness and integrability
- Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces
- 2-microlocal Besov and Triebel-Lizorkin spaces of variable integrability
- Function spaces of variable smoothness and integrability
- Characterizations of Besov-Hardy-Sobolev spaces: A unified approach
- Describing functions: Atomic decompositions versus frames
- On spaces of Triebel-Lizorkin type
- Coorbit spaces and Banach frames on homogeneous spaces with applications to the sphere
- Foundations of time-frequency analysis
- New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets
- Continuous frames in Hilbert space
- Wavelet coorbit spaces viewed as decomposition spaces
- Simplified vanishing moment criteria for wavelets over general dilation groups, with applications to abelian and shearlet dilation groups
- Weighted coorbit spaces and Banach frames on homogeneous 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
- Coorbit spaces and wavelet coefficient decay over general dilation groups
- Some new function spaces of variable smoothness
- Banach Spaces of Distributions Defined by Decomposition Methods, I
- Ten Lectures on Wavelets
- Biorthogonal bases of compactly supported wavelets
- Maximal function on generalized Lebesgue spaces L^p(⋅)
- Hardy-Littlewood maximal operator on L^p(x) (ℝ)
- Wiener amalgam spaces with respect to quasi-Banach spaces
- Coorbit space theory for quasi-Banach spaces
- Generalized coorbit theory, Banach frames, and the relation to α-modulation spaces
- Wavelet methods for pointwise regularity and local oscillations of functions
- Locally bounded linear topological spaces
- Vanishing moment conditions for wavelet atoms in higher dimensions
This page was built for publication: General coorbit space theory for quasi-Banach spaces and inhomogeneous function spaces with variable smoothness and integrability
