On the Rate of Tangential Convergence of Functions From Hardy Spaces, 0<p<1

Kathryn E. Hare; Alexander M. Stokolos

doi:10.1090/conm/370

On the Rate of Tangential Convergence of Functions From Hardy Spaces, 0<p<1

Kathryn E. Hare, Alexander M. Stokolos

Mathematical Sciences

University of Waterloo

Research output: Contribution to book or proceeding › Chapter

Abstract

Our interest is in Fatou theorems for functions which belong to the classical Hardy spaces on the disk and satisfy certain modulus of continuity properties. Such functions can have limits along tangential regions and estimates are known for the rates of convergence of these limits. In this paper we consider the optimality of these rates of convergence.

Original language	American English
Title of host publication	Contemporary Mathematics: The p-Harmonic Equation and Recent Advances in Analysis
DOIs	https://doi.org/10.1090/conm/370
State	Published - 2005

Disciplines

Mathematics

Keywords

Functions From Hardy Spaces
Rate of Tangential Convergence

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title = "On the Rate of Tangential Convergence of Functions From Hardy Spaces, 0<p<1",

abstract = " Our interest is in Fatou theorems for functions which belong to the classical Hardy spaces on the disk and satisfy certain modulus of continuity properties. Such functions can have limits along tangential regions and estimates are known for the rates of convergence of these limits. In this paper we consider the optimality of these rates of convergence.",

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AU - Stokolos, Alexander M.

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PY - 2005

Y1 - 2005

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AB - Our interest is in Fatou theorems for functions which belong to the classical Hardy spaces on the disk and satisfy certain modulus of continuity properties. Such functions can have limits along tangential regions and estimates are known for the rates of convergence of these limits. In this paper we consider the optimality of these rates of convergence.

KW - Functions From Hardy Spaces

KW - Rate of Tangential Convergence

UR - https://doi.org/10.1090/conm/370

U2 - 10.1090/conm/370

DO - 10.1090/conm/370

M3 - Chapter

BT - Contemporary Mathematics: The p-Harmonic Equation and Recent Advances in Analysis

ER -

On the Rate of Tangential Convergence of Functions From Hardy Spaces, 0<p<1

Abstract

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Keywords

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