Decompositions with atoms and molecules for variable exponent Triebel-Lizorkin-Morrey spaces

DOI10.1007/s00365-020-09497-zzbMath1473.46040arXiv1904.03237OpenAlexW3100242863WikidataQ126298931 ScholiaQ126298931MaRDI QIDQ2658527

Henning Kempka, António M. Caetano

Publication date: 23 March 2021

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.03237

zbMATH Keywords

variable exponentsTriebel-Lizorkin-Morrey spacesmolecular characterizationatomic characterization

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (2)

Unnamed Item ⋮ Variable exponent Triebel-Lizorkin-Morrey spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On 2-microlocal spaces with all exponents variable
• Generalized Morrey spaces and trace operator
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Atomic, molecular and wavelet decomposition of 2-microlocal Besov and Triebel-Lizorkin spaces with variable integrability
• Lebesgue and Sobolev spaces with variable exponents
• Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications
• Decompositions of Besov-Hausdorff and Triebel-Lizorkin-Hausdorff spaces and their applications
• Variable 2-microlocal Besov-Triebel-Lizorkin-type spaces
• Variable exponent Triebel-Lizorkin-Morrey spaces
• Variable exponent Besov-Morrey spaces
• Triebel-Lizorkin type spaces with variable exponents
• Local means, wavelet bases and wavelet isomorphisms in Besov‐Morrey and Triebel‐Lizorkin‐Morrey spaces

This page was built for publication: Decompositions with atoms and molecules for variable exponent Triebel-Lizorkin-Morrey spaces