Hardy-Littlewood theorem in domains with quasiconformal boundary and its applications to harmonic functions

DOI10.1007/BF00969272zbMath0611.30004MaRDI QIDQ1087665

M. Z. Dvejrin

Publication date: 1986

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

continuous extensionconjugate harmonic functionquasiconformal boundary

Mathematics Subject Classification ID

Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (3)

Harmonic version of Jackson's theorem in the complex plane ⋮ On a boundary properties of functions from a class \(H_p\) \((p \geq 1)\) ⋮ Approximation of analytic functions and their real part

Cites Work

• Growth of derivatives and the modulus of continuity of analytic functions
• On the order of closeness of a spatial quasiconformal mapping to conformal
• On the Degree of Polynomial Approximation to Harmonic and Analytic Functions
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