On the Boundary Behavior of Harmonic and Analytic Functions

Alexander M. Stokolos

On the Boundary Behavior of Harmonic and Analytic Functions

Mathematical Sciences

Research output: Contribution to conference › Presentation

Abstract

This is a joint work with Fausto di Biase, Olof Svensson and Tomasz Weiss. We study bounded harmonic and analytic functions defined on the unit disc and their boundary behavior along tangential approach region whose shape may change from point to point, thus solving a problem posted by W.Rudin in 1979 and completing picture given by the basic theorems of Fatou (1906), Lindeloef (1915), Littlewood (1927) and Nagel&Stein (1984).

Original language	American English
State	Published - Feb 7 2006
Event	University of Wisconsin Analysis Seminar - Madison, WI Duration: Feb 5 2013 → …

Conference

Conference	University of Wisconsin Analysis Seminar
Period	02/5/13 → …

Keywords

Analytic Functions
Boundary Behavior
Harmonic

DC Disciplines

Mathematics

Cite this

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title = "On the Boundary Behavior of Harmonic and Analytic Functions",

abstract = " This is a joint work with Fausto di Biase, Olof Svensson and Tomasz Weiss. We study bounded harmonic and analytic functions defined on the unit disc and their boundary behavior along tangential approach region whose shape may change from point to point, thus solving a problem posted by W.Rudin in 1979 and completing picture given by the basic theorems of Fatou (1906), Lindeloef (1915), Littlewood (1927) and Nagel&Stein (1984).",

keywords = "Analytic Functions, Boundary Behavior, Harmonic",

author = "Stokolos, {Alexander M.}",

year = "2006",

month = feb,

day = "7",

language = "American English",

note = "University of Wisconsin Analysis Seminar ; Conference date: 05-02-2013",

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TY - CONF

T1 - On the Boundary Behavior of Harmonic and Analytic Functions

AU - Stokolos, Alexander M.

PY - 2006/2/7

Y1 - 2006/2/7

N2 - This is a joint work with Fausto di Biase, Olof Svensson and Tomasz Weiss. We study bounded harmonic and analytic functions defined on the unit disc and their boundary behavior along tangential approach region whose shape may change from point to point, thus solving a problem posted by W.Rudin in 1979 and completing picture given by the basic theorems of Fatou (1906), Lindeloef (1915), Littlewood (1927) and Nagel&Stein (1984).

AB - This is a joint work with Fausto di Biase, Olof Svensson and Tomasz Weiss. We study bounded harmonic and analytic functions defined on the unit disc and their boundary behavior along tangential approach region whose shape may change from point to point, thus solving a problem posted by W.Rudin in 1979 and completing picture given by the basic theorems of Fatou (1906), Lindeloef (1915), Littlewood (1927) and Nagel&Stein (1984).

KW - Analytic Functions

KW - Boundary Behavior

KW - Harmonic

UR - https://www.math.wisc.edu/~seeger/abstracts06-spring

M3 - Presentation

T2 - University of Wisconsin Analysis Seminar

Y2 - 5 February 2013

ER -

On the Boundary Behavior of Harmonic and Analytic Functions

Abstract

Conference

Keywords

DC Disciplines

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