Some applications of Besov spaces on fractals

DOI10.1007/s10114-004-0451-yzbMath1096.46021OpenAlexW2101921086MaRDI QIDQ2581258

Da Chun Yang

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0451-y

zbMATH Keywords

Sobolev spaceseigenvalue distributionBesov spacesfractals

Mathematics Subject Classification ID

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) Eigenvalue problems for linear operators (47A75) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Pseudodifferential operators (47G30)

Related Items (3)

\(A_1\) weights and \(d\)-homogeneous measures on Ahlfors \(d\)-regular space ⋮ Distributional dimension of fractal sets in local fields ⋮ Generalized Besov type spaces on the dual of the Laguerre hypergroup

Cites Work

• Traces of Sobolev functions on fractal type sets and characterization of extension domains
• Some equivalent definitions of high order Sobolev spaces on stratified groups and generalizations to metric spaces
• Entropy numbers, s-numbers, and eigenvalue problems
• Lectures on analysis on metric spaces
• Inhomogeneous discrete Calderón reproducing formulas for spaces of homogeneous type
• Sobolev spaces on an arbitrary metric space
• Besov spaces on spaces of homogeneous type and fractals
• Sobolev met Poincaré
• New characterizations and applications of inhomogeneous Besov and Triebel–Lizorkin spaces on homogeneous type spaces and fractals
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