Besov spaces with variable smoothness and integrability on Lie groups of polynomial growth

DOI10.1007/s11868-018-0246-zzbMath1430.46030OpenAlexW2796188687WikidataQ115377553 ScholiaQ115377553MaRDI QIDQ2328214

Jingxuan Fang, Ji Man Zhao

Publication date: 9 October 2019

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-018-0246-z

zbMATH Keywords

embeddingBesov spacesvariable exponentLie groups of polynomial growth

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (5)

Triebel-Lizorkin spaces with variable smoothness and integrability on Lie groups of polynomial growth ⋮ Multilinear spectral multipliers on Besov and Triebel-Lizorkin spaces on Lie groups of polynomial growth ⋮ Multilinear spectral multipliers on Lie groups of polynomial growth ⋮ Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents ⋮ Multilinear and multiparameter spectral multipliers on homogeneous Besov and Triebel-Lizorkin spaces on Lie groups of polynomial growth

Cites Work

• Variable Lebesgue spaces. Foundations and harmonic analysis
• Lebesgue and Sobolev spaces with variable exponents
• Orlicz spaces and modular spaces
• Some properties of distributions on Lie groups
• Besov spaces with variable smoothness and integrability
• Function spaces of variable smoothness and integrability
• Analysis on Lie groups with polynomial growth
• Triebel-Lizorkin type spaces with variable exponents
• Besov-type spaces with variable smoothness and integrability
• Classical Fourier Analysis
• The relation between variable Bessel potential spaces and Triebel–Lizorkin spaces
• L p Bounds for Spectral Multipliers on Nilpotent Groups
• Spectral Multipliers on Lie Groups of Polynomial Growth
• Besov Spaces and Hausdorff Dimension For Some Carnot-Carathéodory Metric Spaces
• Maximal Operator in Variable Exponent Lebesgue Spaces on Unbounded Quasimetric Measure Spaces
• Littlewood–Paley decompositions and Besov spaces on Lie groups of polynomial growth
• Analysis on Lie groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Besov spaces with variable smoothness and integrability on Lie groups of polynomial growth