Prof. Hose Gonzalez Llorente
visited St.Peterburg from 7 to 13 June 1997
and gave the lecture "Asymptotic values of subharmonic functions"
at the V.P.Havin - N.K.Nikolsky Seminar "Spectrum Function Theory"
on 10.06.97.
I. Western participant(s)
1) Family names: Gonzalez Llorente
2) Given Name: Jose
3) Degree: Doctor in Mathematics
4) Affiliation: Department of Mathematics,
Universidad Autonoma de Madrid
Facultad de Ciencias
28049 MADRID, Spain
and
Departament de Matematiques
Facultat de Ciencies
Universitat Autonoma de Barcelona
08193 BELLATERRA
BARCELONA, Spain
5) position: associate professor
6) mailing address
Department of Mathematics,
Universidad Autonoma de Madrid
Facultad de Ciencias
28049 MADRID, Spain
7) current e-mail adress: jose.gonzalez@uam.es
8) phone number: 34-1-3975255 (Madrid, Spain)
9) Fax: 34-1-3974889 (Madrid, Spain)
II. Russian participant(s)
1) family name Yakubovich
2) given name Dmitry
3) patronimic Vladimirovich
4) degree, title(s) Candidate of Math. Sciences
5) affiliation Division of Math. Analysis,
Dept. of Mathematics and Mechanics
St. Petersburg Univ.
6) position docent
7) mailing address Dmitry Yakubovich
Division of Mathematical Analysis
Dept. of Mathemetics and Mechanics
St. Petersburg State Univ.
Bibliotechnaya pl., 2
Stary Peterhof, 198904
St. Petersburg, Russia
8) e-mail address dm@yakub.niimm.spb.su
9) phone number (812) 4287063
10) FAX number (812) 4283039
III. Subject of joint work (a few phrases)
Some recent results on the boundary behaviour of subharmonic functions
in the unit ball or the upper half-space can be generalized in the sense
that they are also valid when the upper half-space and usual subharmonic
functions are replaced by a Brelot metric space and its corresponding
subharmonic cone . It can be shown that the key requirements needed to
get the same results in this abstract setting are: i) the appropiate
version of Littlewood's Theorem on subharmonic functions. ii) certain
Carleson condition on the behaviour of harmonic measure.
For instance, this general approach has direct applications to
subsolutions of some elliptic differential operators in euclidean
domains.
IV. Desired duration 8 days in the period
from June 5 to June 30, 1997.