Characterisation by local means of anisotropic Lizorkin-Triebel spaces with mixed norms

DOI10.4171/ZAA/1484zbMath1284.46028arXiv1609.06970OpenAlexW1991313661MaRDI QIDQ360703

Winfried Sickel, S. Munch Hansen, Johnsen, Jon.

Publication date: 27 August 2013

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.06970

zbMATH Keywords

mixed normsTriebel-Lizorkin spacemoment conditionsTauberian conditionslocal means

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (13)

Mixed Norm Martingale Hardy Spaces and Applications in Fourier Analysis ⋮ Anisotropic Lizorkin-Triebel spaces with mixed norms - traces on smooth boundaries ⋮ Iterated weak and weak mixed-norm spaces with applications to geometric inequalities ⋮ Wavelet transforms for homogeneous mixed-norm Triebel-Lizorkin spaces ⋮ Littlewood-Paley characterizations of weighted anisotropic Triebel-Lizorkin spaces via averages on balls. II. ⋮ Identification of anisotropic mixed-norm Hardy spaces and certain homogeneous Triebel-Lizorkin spaces ⋮ Summability in anisotropic mixed-norm Hardy spaces ⋮ Anisotropic, mixed-norm Lizorkin-Triebel spaces and diffeomorphic maps ⋮ Frame-based average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces ⋮ Fourier Transform of Anisotropic Mixed-norm Hardy Spaces with Applications to Hardy-Littlewood Inequalities ⋮ Fourier transform of anisotropic mixed-norm Hardy spaces ⋮ Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications ⋮ Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces

Cites Work

• Function spaces and wavelets on domains
• Weighted Hardy spaces
• Pointwise estimates of pseudo-differential operators
• Anisotropic, mixed-norm Lizorkin-Triebel spaces and diffeomorphic maps
• A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin-Triebel spaces with mixed norms
• Characterisations of function spaces of generalised smoothness
• Anisotropic Lizorkin-Triebel spaces with mixed norms - traces on smooth boundaries
• An Extended Inequality for the Maximal Function
• Maximal regularity for parabolic equations with inhomogeneous boundary conditions in Sobolev spaces with mixed $L_p$-norm
• On the trace problem for Lizorkin–Triebel spaces with mixed norms
• Vector-valued Lizorkin-Triebel spaces and sharp trace theory for functions in Sobolev spaces with mixed $ \pmb{L_p}$-norm for parabolic problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Characterisation by local means of anisotropic Lizorkin-Triebel spaces with mixed norms