Besov spaces and Herz spaces on local fields

DOI10.1007/BF02871839zbMath0931.42014MaRDI QIDQ1286697

Weixing Zheng, Yue Ping Zhu

Publication date: 14 February 2000

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

Hardy spaceBesov spaceatomlocal fieldweightmultiplierHerz space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (4)

Estimates for \(p\)-adic fractional integral operator and its commutators on \(p\)-adic Morrey-Herz spaces ⋮ Boundedness for commutators of fractional \(p\)-adic Hardy operators ⋮ Boundedness for commutators of rough \(p\)-adic fractional Hardy type operators ⋮ Sharp estimates of \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators

Cites Work

• Unnamed Item
• The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications
• The weighted Herz-type Hardy space and its applications
• The decomposition of Herz spaces on local fields and its applications
• Embedding and multiplier theorems for 𝐻^{𝑃}(𝑅ⁿ)
• Fourier Analysis on Local Fields. (MN-15)
• Homogeneous Besov spaces on locally compact Vilenkin groups

This page was built for publication: Besov spaces and Herz spaces on local fields