Fatou type theorems. Maximal functions and approach regions
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Publication:1374900
zbMath0889.31002MaRDI QIDQ1374900
Publication date: 5 January 1998
Published in: Progress in Mathematics (Search for Journal in Brave)
spaces of homogeneous typetreesharmonic functionsholomorphic functionsmaximal functionsFatou theorems
Maximal functions, Littlewood-Paley theory (42B25) Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary behavior of holomorphic functions of several complex variables (32A40) Research exposition (monographs, survey articles) pertaining to potential theory (31-02)
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True or false? A case in the study of harmonic functions ⋮ Harmonic analysis of several complex variables: a survey ⋮ On the Boundary Behavior of Holomorphic and Harmonic Functions ⋮ The Besicovitch covering lemma and maximal functions ⋮ A decreasing rearrangement for functions on homogeneous trees ⋮ On generalizations of Fatou's theorem in \(L^p\) for convolution integrals with general kernels ⋮ Approach regions for the square root of the Poisson kernel and boundary functions in certain Orlicz spaces ⋮ Foundations of Fatou theory and a tribute to the work of E. M. Stein on boundary behavior of holomorphic functions ⋮ Density bases associated with Nagel–Stein approach regions ⋮ Traces on General Sets in ${R}^n$ for Functions with no Differentiability Requirements
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