Real interpolation of generalized Besov-Hardy spaces and applications

DOI10.1007/s00041-010-9145-2zbMath1232.46029OpenAlexW2079501041MaRDI QIDQ636815

Alexandre Almeida, António M. Caetano

Publication date: 30 August 2011

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-010-9145-2

zbMATH Keywords

interpolationpseudodifferential operatorsmaximal functionswavelet decompositionsgeneralized Hardy spacesgeneralized Besov spaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (H^p)-spaces (42B30) Abstract interpolation of topological vector spaces (46M35)

Related Items (6)

Function spaces of Lorentz-Sobolev type: atomic decompositions, characterizations in terms of wavelets, interpolation and multiplications ⋮ On the relationship between two kinds of Besov spaces with smoothness near zero and some other applications of limiting interpolation ⋮ On restrictions of Besov functions ⋮ On function spaces of Lorentz-Sobolev type ⋮ A note on the trace theorem for Besov-type spaces of generalized smoothness on d-sets ⋮ Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces

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