Foundations of Fatou theory and a tribute to the work of E. M. Stein on boundary behavior of holomorphic functions
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Publication:2050535
DOI10.1007/s12220-021-00618-zzbMath1477.32013OpenAlexW3137708486MaRDI QIDQ2050535
Fausto Di Biase, Steven G. Krantz
Publication date: 31 August 2021
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-021-00618-z
(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary behavior of holomorphic functions of several complex variables (32A40) Abstract differentiation theory, differentiation of set functions (28A15)
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Cites Work
- Lectures on potential theory. Notes by K. N. Gowrisankaran and M. K. Venkatesha Murthy
- On limits of sequences of operators
- Axiomatische Behandlung des Dirichletschen Problems für elliptische und parabolische Differentialgleichungen
- On the existence of boundary values for harmonic functions in several variables
- On certain maximal functions and approach regions
- Invariant metrics and the boundary behavior of holomorphic functions on domains in \({\mathbb{C}}^ n\)
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- A geometric localization theorem
- Balls and metrics defined by vector fields. I: Basic properties
- Tangential boundary limits and exceptional sets for holomorphic functions in Dirichlet-type spaces
- A converse Fatou theorem on homogeneous spaces
- On the theory of harmonic functions of several variables. II: Behaviour near the boundary
- Set theory. An introduction to independence proofs
- Boundary behaviour of meromorphic functions of several variables
- Set theory. An introduction to large cardinals
- Differentiation of integrals in \(\mathbb{R}^n\)
- Origins of the cohomology of groups
- Estimates of harmonic measure
- A converse Fatou theorem
- Fatou type theorems. Maximal functions and approach regions
- Boundary behaviour of \(H^p\) functions on convex domains of finite type in \(\mathbb{C}^n\)
- The theory of integration in a space of an infinite number of dimensions
- Duality theorems for Hardy and Bergman spaces on convex domains of finite type in \({\mathbb{C}}^ n\)
- The Besicovitch covering lemma and maximal functions
- True or false? A case in the study of harmonic functions
- On the boundary values of harmonic functions in \(R^ 3\)
- Extreme harmonic functions and boundary value problems
- The boundary behavior of holomorphic functions: global and local results
- The Poisson integral for generalized half-planes and bounded symmetric domains
- Axiomatic theory of harmonic functions. Non-negative superharmonic functions
- Harmonic spaces and their potential theory
- Fatou-Naïm-Doob limit theorems in the axiomatic system of Brelot
- Konstruktion von Halbgruppen und Markoffschen Prozessen
- Note on the boundary values of holomorphic functions
- Maximal inequalities of weak type
- Boundary approach filters for analytic functions
- \(H^p\) spaces of several variables
- Sur la derivation abstraite des fonctions d'ensemble
- Espaces et lignes de Green
- La théorie moderne du potentiel
- Theory of capacities
- The development of square functions in the work of A. Zygmund
- Geometry of Homogeneous Bounded Domains
- On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
- Harmonic Functions and Green Potentials Having No Tangential Limits
- Twist points of planar domains
- Harmonic Functions having no Tangential Limits
- Generalized Local Fatou Theorems and Area Integrals
- Boundary behavior of functions holomorphic in domains of finite type
- On Maximal Functions and Poisson-Szego Integrals
- A note on maximal operators of Hardy–Littlewood type
- A Generalized Fatou Theorem
- The Dirichlet Problem for Harmonic Functions
- Boundary Tangential Convergence on Spaces of Homogeneous Type
- Two Theorems on Boundary Values of Analytic Functions
- Inner function images of radii
- A Remarkable Series of Orthogonal Functions (II)
- Twist points of the von Koch snowflake
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
- Application of Poincaré's Sweeping-Out Process
- The Fredholm Method in Potential Theory
- Lp Estimates for (Pluri-) Subharmonic Functions.
- On the Boundary Values of Harmonic Functions
- Harmonic Functions on Hermitian Hyperbolic Space
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
- Positive Harmonic Functions on Lipschitz Domains
- Some Maximal Inequalities
- A Maximal Function Characterization of the Class H p
- Extensions of Fatou's Theorem to Tangential Asymptotic Values
- A Note on End-Sets
- RESONANCE THEOREMS and SUPERLINEAR OPERATORS
- Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
- Regularity Properties of Certain Families of Chance Variables
- Sur les fondements de la théorie du potentiel
- Ultrafilters and Compactification of Uniform Spaces
- On the Behaviour of Harmonic Functions at the Boundary
- On a Theorem of Marcinkiewicz and Zygmund
- A Function-Theoretic Identity
- Théorie du potentiel newtonien : énergie, capacité, suites de potentiels
- Two-dimensional Brownian motion and harmonic functions
- Markoff process and the Dirichlet problem
- Potential theory
- Asymptotic values of functions holomorphic in the unit disc
- Classical potential theory and its probabilistic counterpart.
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