New characterizations and applications of inhomogeneous Besov and Triebel–Lizorkin spaces on homogeneous type spaces and fractals

DOI10.4064/dm403-0-1zbMath1019.43006OpenAlexW2093397882MaRDI QIDQ4791461

Yongsheng Han, Da Chun Yang

Publication date: 28 January 2003

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/dm/2002/dm_2002_403.html

zbMATH Keywords

Sobolev spacesTriebel-Lizorkin spacesfractional derivativesmetric spacesBesov spacesfractional integrationspaces of homogeneous typefractalsatomsCalderon-Zygmund operatorsmoleculesentropy numbersHardy-Littlewood maximal functionCalderon reproducing formulae

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Harmonic analysis on homogeneous spaces (43A85) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Eigenvalue problems for linear operators (47A75) Linear operators on function spaces (general) (47B38) Fractals (28A80)

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