Mergelyan sets and the modulus of continuity of analytic functions

DOI10.1016/0021-9045(75)90112-4zbMath0313.30036OpenAlexW2028377686WikidataQ56812700 ScholiaQ56812700MaRDI QIDQ1220176

Lee A. Rubel, Allen L. Shields, B. Alan Taylor

Publication date: 1975

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/21993

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

Related Items (14)

Integral operators mapping into the space of bounded analytic functions ⋮ On a theorem of Privalov and a theorem of Zygmund ⋮ Modulus of continuity of harmonic functions ⋮ Non uniform rotating vortices and periodic orbits for the two-dimensional Euler equations ⋮ On a joint approximation question in \(H^p\) spaces ⋮ Moduli of continuity of harmonic quasiregular mappings in \(\mathbb{B}^n\) ⋮ Cyclic Vectors in the Dirichlet Space ⋮ On \(\mathrm{Lip}( \omega )\)-continuity of the operator of harmonic reflection over boundaries of simple Carathéodory domains ⋮ Analytic functions satisfying Hölder conditions on the boundary ⋮ Majorization of the modulus of continuity of analytic functions ⋮ Some integral operators acting on \(H^{\infty}\) ⋮ Subharmonicity of \(|f|^p\) for quasiregular harmonic functions, with applications ⋮ Characterization of Mergelyan Sets ⋮ Convolution-type integral operators in complex approximation

Cites Work

• Some properties of fractional integrals. II
• CONTOUR AND SOLID STRUCTURE PROPERTIES OF HOLOMORPHIC FUNCTIONS OF A COMPLEX VARIABLE
• Characterization of Mergelyan Sets
• Some theorems on perturbation theory
• Degree of Approximation by Polynomials in the Complex Domain. (AM-9)
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