Lacunary measures and self-similar probability measures in function spaces

DOI10.1007/s10114-004-0381-8zbMath1069.46019OpenAlexW2066221586MaRDI QIDQ705092

Hans Triebel

Publication date: 25 January 2005

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

Full work available at URL: https://doi.org/10.1007/s10114-004-0381-8

zbMATH Keywords

Besov spacesself-similar measuresmultifractal quantities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractals (28A80)

Related Items

Distributional dimension of fractal sets in local fields ⋮ Spectrality of generalized Sierpinski-type self-affine measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimates for the lower and the upper dimension of a measure
• Fractal characteristics of measures: An approach via function spaces
• Characterisation of function spaces via mollification; fractal quantities for distributions
• A multifractal formalism
• Self-similarity in harmonic analysis