Cauchy transforms of self-similar measures: The Laurent coefficients

DOI10.1016/S0022-1236(02)00069-1zbMath1032.28005OpenAlexW2069096146MaRDI QIDQ1403839

Ka-Sing Lau, Xin-Han Dong

Publication date: 4 September 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-1236(02)00069-1

zbMATH Keywords

Cauchy transformfractal measureself-similar measureLaurent coefficientmultiplicative periodic functions

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Fractals (28A80) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (15)

On spectra and spectral eigenmatrix problems of the planar Sierpinski measures ⋮ Spectrality of certain Moran measures with three-element digit sets ⋮ On zeros and spectral property of self-affine measures ⋮ Cauchy transforms of self-similar measures: Starlikeness and univalence ⋮ Estimates for Taylor coefficients of Cauchy transforms of some Hausdorff measures. I ⋮ Estimates for Taylor coefficients of Cauchy transforms of some Hausdorff measures. II ⋮ Driving functions and traces of the Loewner equation ⋮ The starlikeness of Cauchy transform on square ⋮ A note on Cantor boundary behavior ⋮ An Integral Related to the Cauchy Transform on the Sierpinski Gasket ⋮ The infinite range of infinite Blaschke product ⋮ SPECTRAL PROPERTY OF CERTAIN MORAN MEASURES WITH THREE-ELEMENT DIGIT SETS ⋮ Starlikeness and convexity of Cauchy transform on equilateral triangle ⋮ STARLIKENESS AND CONVEXITY OF CAUCHY TRANSFORMS ON REGULAR POLYGONS ⋮ INFINITE ORTHOGONAL EXPONENTIALS OF A CLASS OF SELF-AFFINE MEASURES

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• Cauchy Transforms of Self-Similar Measures
• Isoperimetric Estimates on Sierpinski Gasket Type Fractals
• Separation Properties for Self-Similar Sets
• An Integral Related to the Cauchy Transform on the Sierpinski Gasket

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