Fractal characteristics of measures: An approach via function spaces

DOI10.1007/S00041-003-0020-2zbMath1034.46034OpenAlexW2081633154MaRDI QIDQ1416657

Hans Triebel

Publication date: 16 December 2003

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

Full work available at URL: https://doi.org/10.1007/s00041-003-0020-2

zbMATH Keywords

Fourier transformRadon measuremultifractal formalismRiesz potentialsBessel potentials

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractals (28A80)

Related Items (4)

Approximation numbers in function spaces and the distribution of eigenvalues of some fractal elliptic operators ⋮ Lacunary measures and self-similar probability measures in function spaces ⋮ FRACTAL GEOMETRY OF WEIERSTRASS-TYPE FUNCTIONS ⋮ Multifractal Analysis Based on p-Exponents and Lacunarity Exponents

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