Besov spaces with non-doubling measures

DOI10.1090/S0002-9947-05-03787-6zbMath1091.42017MaRDI QIDQ3378460

Donggao Deng, Yongsheng Han, Da Chun Yang

Publication date: 3 April 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Besov spaceRiesz potentialregular measureCalderón reproducing formulanon-doubling measure

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items

Functional calculus of operators with heat kernel bounds on non-doubling manifolds with ends ⋮ Some characterizations of upper doubling conditions on metric measure spaces ⋮ Besov and Hardy spaces associated with the Schrödinger operator on the Heisenberg group ⋮ Estimates for fractional type Marcinkiewicz integrals with non-doubling measures ⋮ Predual spaces of Morrey spaces with non-doubling measures ⋮ Morrey spaces for non-doubling measures ⋮ Littlewood-Paley theory on metric spaces with non doubling measures and its applications ⋮ Calderón reproducing formulas and new Besov spaces associated with operators ⋮ Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces for nondoubling measures

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