Growth of derivatives and the modulus of continuity of analytic functions

DOI10.1216/RMJ-1979-9-4-671zbMath0441.30047MaRDI QIDQ1142896

Elgin H. Johnston

Publication date: 1979

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

modulus of continuityHölder continuityLipschitz domainsgrowth of derivatives

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Inequalities in the complex plane (30A10)

Related Items (5)

Quasianalytic classes of functions on a plane ⋮ Hardy-Littlewood theorem in domains with quasiconformal boundary and its applications to harmonic functions ⋮ On the rate of rational approximation of functions on tangent continua ⋮ On the Besov regularity of conformal maps and layer potentials on nonsmooth domains. ⋮ Growth estimates of conjugate harmonic polynomials in domains of the complex plane

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