\(L^p\) estimate of convolution transform of singular measure by approximate identity

DOI10.1016/J.NA.2013.08.001zbMath1282.28005OpenAlexW1965780992MaRDI QIDQ2637669

Li Cao, Yi-Ping Zhang, Li-Feng Xi

Publication date: 13 February 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.08.001

zbMATH Keywords

approximate identityconvolution transformAhlfors-David measure

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (1)

Spectral measure of the Thue–Morse sequence and the dynamical system and random walk related to it

Cites Work

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• Some asymptotic properties of the convolution transforms of fractal measures
• Some boundary fractal properties of the convolution transform of measures by an approximate identity
• Singular boundary properties of harmonic functions and fractal analysis
• The Poisson Integral of a Singular Measure
• Integrability near the boundary of the Poisson integral of some singular measures
• Initial Singularities of Gauss-Weierstrass Integrals and their Relations to Laplace Transforms and Hausdorff Measures

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