Fine Topology Methods in Real Analysis and Potential Theory
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1189
Jaroslav Lukes Jan Maly Ludek Zajicek
Fine Tapology Methods in Real Analysis and Potential Theory
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Lecture Notes in Mathematics Edited by A. Dold and B. Eckmann Subseries: Mathematisches Institut der Universitat Erlanqen-Nurnberq Adviser: H. Bauer
1189
Jaroslav Lukes Jan Maly Ludek Zajicek
Fine Tapology Methods in Real Analysis and Potential Theory
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Authors
Jaroslav Lukes Jan Maly Ludek Zajicek Matematicko-fyzikaln fakulta University Karlovy Sokolovska 83, 18600 Praha 8, CSSR
Mathematics Subject Classification (1980): 26A21, 26A24, 26A27, 26B05, 28A 15, 28A51, 31 C05, 31 D05, 54A05, 54C20, 54D05, 54D 15, 54E52, 54£55 ISBN 3-540-16474-X Springer-Verlag Berlin Heidelberg New York ISBN 0-387-16474-X Springer-Verlag New York Berlin Heidelberg
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© Springer-Verlag Berlin Heidelberg 1986 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2146/3140-543210
Preface
'!here are tv.D well-established seminars at the Department of Matherratical Analysis of the Charles University Prague. One is the seminar on Potential Theory and the other the seminar on Modern Theory of Real Functions. It has been established that some of the problems subjected to study in these seminars are closely related resulting in the combined investigation of the very foundations and interrelations of the '!he first version of the rranuscr ipt; was prepared in April 1982 in order to serve as a complement to lectures at Erlangen and Eichstatt Universities. Since that time the work has been greatly extended and is now quite voluminoos. It is only fair to admit that the rranuscr.ipt; is not free of misprints and shortcomings and does not contain all sources dealing with the subject. Any useful commentary and supplerrentary contributions would be gratefully received by the authors. As many persons cooperated in the preparat.ory work
on the rranascr.ipt. let
us mention at least some of those who extended their generous help in support of the authors. Let us quote amongst others our colleagues O.John, D.Preiss, J.VeselY and students M.Chleblk, J.Hrdina, V.Kelar, T.Schutz, V.Sverat and R.Thomas. At this occasion let us express our gratitude and indebtness to Mrs. Erika Ritter from Erlangen who has devoted the best care to the final re-typing of the text. Insertion of mathematical symbols was done by the authors who themselves are responsible for all the possible mistakes. In concluding this ,preface we have to stress our special thanks to those who have tirelessly supp
