Potential Theory - ICPT 94: Proceedings of the International Conference on Potential Theory held in Kouty, Czech Republic, August 13-20, 1994

Book

Potential Theory - ICPT 94

Proceedings of the International Conference on Potential Theory held in Kouty, Czech Republic, August 13-20, 1994

Edited by: Josef Kral , Jaroslav Lukes , Ivan Netuka and Jiri Vesely

Language: English

Published/Copyright: 1996

Published by

Become an author with De Gruyter Brill

How to publish with us

This book is in the series

De Gruyter Proceedings in Mathematics

Topics

Requires Authentication Unlicensed

Licensed

I-IV
I

Download PDF
Requires Authentication Unlicensed

Licensed

Preface
V

Download PDF
Requires Authentication Unlicensed

Licensed

Contents
VII

Download PDF
Invited Lectures
Requires Authentication Unlicensed

Licensed

Recollections, reflections, results – Introductory thoughts to the ICPT 1994
1
Heinz Bauer

Download PDF
Requires Authentication Unlicensed

Licensed

Constructions of Dirichlet structures
9
Nicolas Bouleau

Download PDF
Requires Authentication Unlicensed

Licensed

Les processus mentaux de la création
27
Gustave Choquet

Download PDF
Requires Authentication Unlicensed

Licensed

Harmonic approximation
51
Stephen J. Gardiner

Download PDF
Requires Authentication Unlicensed

Licensed

Restricted mean value property and harmonic functions
67
Wolfhard Hansen

Download PDF
Requires Authentication Unlicensed

Licensed

Approximation properties of harmonic vector fields and differential forms
91
Victor P. Havin

Download PDF
Requires Authentication Unlicensed

Licensed

Nonlinear potentials and quasilinear PDE’s
103
Jan Malý

Download PDF
Requires Authentication Unlicensed

Licensed

Removability, geometric measure theory, and singular integrals
129
Pertti Mattila

Download PDF
Requires Authentication Unlicensed

Licensed

Bernstein-Walsh type theorems for pluriharmonic functions
147
Józef Siciak

Download PDF
Requires Authentication Unlicensed

Licensed

Potentials for the Dirichlet problem in Lipschitz domains
167
Gregory C. Verchota

Download PDF
Requires Authentication Unlicensed

Licensed

Dirichlet problem at infinity for harmonic functions on graphs
189
Wolfgang Woess

Download PDF
Contributed Papers
Requires Authentication Unlicensed

Licensed

Quasiadditivity and measure property of capacity and the tangential boundary behavior of harmonic functions
219
Hiroaki Aikawa and Alexandr A. Borichev

Download PDF
Requires Authentication Unlicensed

Licensed

The Riesz–Herglotz representation for positive harmonic functions via Choquet’s theorem
229
David H. Armitage

Download PDF
Requires Authentication Unlicensed

Licensed

Spherical harmonics and applications associated with the Weinstein operator
233
Zouhir Ben Nahia and Nejib Ben Salem

Download PDF
Requires Authentication Unlicensed

Licensed

On a mean value property associated with the Weinstein operator
243
Zouhir Ben Nahia and Nejib Ben Salem

Download PDF
Requires Authentication Unlicensed

Licensed

Once more about the semipolar sets and regular excessive functions
255
Lucian Beznea and Nicu Boboc

Download PDF
Requires Authentication Unlicensed

Licensed

Duality for semi-dynamical systems
275
Mounir Bezzarga and Gheorghe Bucur

Download PDF
Requires Authentication Unlicensed

Licensed

Removable singularities for Hardy spaces in sub domains of ℂ
287
Anders Björn

Download PDF
Requires Authentication Unlicensed

Licensed

Approximation by harmonic functions
297
Jürgen Bliedtner

Download PDF
Requires Authentication Unlicensed

Licensed

Generalized radial limits and the best approach to boundaries
303
Jürgen Bliedtner and Peter A. Loeb

Download PDF
Requires Authentication Unlicensed

Licensed

Dilation operators in excessive structures; existence and uniqueness
311
Nicu Boboc and Gheorghe Bucur

Download PDF
Requires Authentication Unlicensed

Licensed

On the harmonic morphism for the Kolmogorov type operators
341
Miroslav Brzezina and Martina Šimůnková

Download PDF
Requires Authentication Unlicensed

Licensed

Potentiels et attracteurs d’un système dynamique
359
Mohamed Hmissi

Download PDF
Requires Authentication Unlicensed

Licensed

Various approaches to the Dirichlet problem for non-local operators satisfying the positive maximum principle
367
Niels Jacob

Download PDF
Requires Authentication Unlicensed

Licensed

Estimates for eigenvalues of the Laplacian
377
Pawel Kröger

Download PDF
Requires Authentication Unlicensed

Licensed

Fine A-supersolutions and finely A-superharmonic functions
383
Visa Latvala

Download PDF
Requires Authentication Unlicensed

Licensed

Remarks on modified Clifford analysis
389
Heinz Leutwiler

Download PDF
Requires Authentication Unlicensed

Licensed

Electric fields in domains with complicated structure
399
Peter V. Malyshev and Dmitry V. Malyshev

Download PDF
Requires Authentication Unlicensed

Licensed

Renormalization on fractals
413
Volker Metz

Download PDF
Requires Authentication Unlicensed

Licensed

Estimates for the density of the area integral
423
Charles N. Moore

Download PDF
Requires Authentication Unlicensed

Licensed

Tensor product of standard Η-cones and duality
433
Eugen Popa and Liliana Popa

Download PDF
Requires Authentication Unlicensed

Licensed

An example of packing related small sets
443
Pavel Pyrih

Download PDF
Requires Authentication Unlicensed

Licensed

On the domain of the generator of a subordinate semigroup
449
René L. Schilling

Download PDF
Requires Authentication Unlicensed

Licensed

The double layer potentials for a bounded domain with fractal boundary
463
Hisako Watanabe

Download PDF
PROBLEMS
Requires Authentication Unlicensed

Licensed

The Pompeiu property for spherical polygons
473
David H. Armitage

Download PDF
Appendices
Requires Authentication Unlicensed

Licensed

List of lectures
489

Download PDF
Requires Authentication Unlicensed

Licensed

List of participants
493

Download PDF

Publishing information

Pages and Images/Illustrations in book

eBook published on:

October 13, 2011

eBook ISBN:

9783110818574

Hardcover published on:

May 21, 1996

Hardcover ISBN:

9783110146547

Edition:

Reprint 2011

Pages and Images/Illustrations in book

Front matter:

9

Main content:

499

Illustrations:

1

https://doi.org/10.1515/9783110818574

eBook ISBN: 9783110818574

Hardcover ISBN: 9783110146547

Keywords for this book

Potenzialtheorie; Kongress; Kouty

Safety & product resources

Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Potential Theory - ICPT 94

Overview

Topics

Table of contents

I-IV

Preface

Contents

Recollections, reflections, results – Introductory thoughts to the ICPT 1994

Constructions of Dirichlet structures

Les processus mentaux de la création

Harmonic approximation

Restricted mean value property and harmonic functions

Approximation properties of harmonic vector fields and differential forms

Nonlinear potentials and quasilinear PDE’s

Removability, geometric measure theory, and singular integrals

Bernstein-Walsh type theorems for pluriharmonic functions

Potentials for the Dirichlet problem in Lipschitz domains

Dirichlet problem at infinity for harmonic functions on graphs

Quasiadditivity and measure property of capacity and the tangential boundary behavior of harmonic functions

The Riesz–Herglotz representation for positive harmonic functions via Choquet’s theorem

Spherical harmonics and applications associated with the Weinstein operator

On a mean value property associated with the Weinstein operator

Once more about the semipolar sets and regular excessive functions

Duality for semi-dynamical systems

Removable singularities for Hardy spaces in sub domains of ℂ

Approximation by harmonic functions

Generalized radial limits and the best approach to boundaries

Dilation operators in excessive structures; existence and uniqueness

On the harmonic morphism for the Kolmogorov type operators

Potentiels et attracteurs d’un système dynamique

Various approaches to the Dirichlet problem for non-local operators satisfying the positive maximum principle

Estimates for eigenvalues of the Laplacian

Fine A-supersolutions and finely A-superharmonic functions

Remarks on modified Clifford analysis

Electric fields in domains with complicated structure

Renormalization on fractals

Estimates for the density of the area integral

Tensor product of standard Η-cones and duality

An example of packing related small sets

On the domain of the generator of a subordinate semigroup

The double layer potentials for a bounded domain with fractal boundary

The Pompeiu property for spherical polygons

List of lectures

List of participants

Bibliographic data