Boundary behaviour of analytic functions in spaces of Dirichlet type

DOI10.1155/JIA/2006/92795zbMath1101.30042OpenAlexW2155275101WikidataQ59212449 ScholiaQ59212449MaRDI QIDQ2491588

José Ángel Peláez, Daniel Girela

Publication date: 29 May 2006

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/126765

zbMATH Keywords

Bergman spaceradial variationtangential limits

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Entire and meromorphic functions of one complex variable, and related topics (30D99) Cluster sets, prime ends, boundary behavior (30D40)

Related Items (3)

\(\ell^p\)-type Dirichlet spaces ⋮ The capacity of sets of divergence of certain Taylor series on the unit circle ⋮ Uniformly locally univalent functions and Hardy spaces

Cites Work

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• Tangential boundary behavior of functions in Dirichlet-type spaces
• Derivatives of Blaschke products
• Analytic Besov spaces
• Multiplication and division in the space of analytic functions with area integrable derivative, and in some related spaces
• On inner functions with \(H^p\)-derivative
• Univalent functions, Hardy spaces and spaces of Dirichlet type
• Carleson measures for spaces of Dirichlet type
• The dual of an inequality of Hardy and Littlewood and some related inequalities
• Blaschke products with derivative in H\(^p\) and B\(^p\)
• The radial variation of analytic functions
• Angular and Tangential Limits of Blaschke Products and their Successive Derivatives
• Tangential Limits of Functions of the Class S α
• Fractional integration, differentiation, and weighted Bergman spaces
• Radial variation of functions in Dirichlet‐type spaces
• Tangential Limits for Certain Classes of Analytic Functions
• On univalent functions in some Möbius invariant spaces
• Growth properties and sequences of zeros of analytic functions in spaces of Dirichlet type
• Theorems on Fourier Series and Power Series (II)^†
• On Certain Integrals

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