Tangential boundary limits and exceptional sets for holomorphic functions in Dirichlet-type spaces

DOI10.1007/BF01453595zbMath0664.32003MaRDI QIDQ1114821

Juan Sueiro

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164657

zbMATH Keywords

exceptional setsapproach regionsexistence of tangential boundary limitsfractional Cauchy integrals

Mathematics Subject Classification ID

Dirichlet forms (31C25) Boundary behavior of holomorphic functions of several complex variables (32A40) Picard-type theorems and generalizations for several complex variables (32H25) Global boundary behavior of holomorphic functions of several complex variables (32E35)

Related Items (8)

A characterisation of tangential exceptional sets for αp = n ⋮ Boundary limits and non-integrability of $\mathcal M$-subharmonic functions in the unit ball of $\mathbb C^n (n\ge 1)$ ⋮ Tangential boundary behavior of functions of several variables ⋮ Boundary Tangential Convergence on Spaces of Homogeneous Type ⋮ Families of fractional Cauchy transforms in the ball ⋮ Foundations of Fatou theory and a tribute to the work of E. M. Stein on boundary behavior of holomorphic functions ⋮ An exact estimate of the boundary behavior of functions from Hardy-Sobolev classes in the critical case ⋮ Tangential limits for harmonic functions with respect to \(\phi(\Delta)\): stable and beyond

Cites Work

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• On certain maximal functions and approach regions
• Fonctions holomorphes bornees et limites tangentielles
• Some new function spaces and their applications to harmonic analysis.
• Strong \(L^ p\) estimates for maximal functions with respect to singular measures; with applications to exceptional sets
• Exceptional sets for holomorphic Sobolev functions
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• On Maximal Functions and Poisson-Szego Integrals
• A note on maximal operators of Hardy–Littlewood type
• Harmonic Functions on Hermitian Hyperbolic Space

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