On some classes of harmonic functions with nonnegative harmonic majorants in the half-plane
- Авторлар: Jerbashian A.1, Restrepo J.1
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Мекемелер:
- Institute of Mathematics
- Шығарылым: Том 51, № 2 (2016)
- Беттер: 79-89
- Бөлім: Real and Complex Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/227899
- DOI: https://doi.org/10.3103/S1068362316020047
- ID: 227899
Дәйексөз келтіру
Аннотация
Some ω-weighted classes of harmonic functions are introduced in the upper half-plane, the representations of these classes are found. A description of the boundary values of the functions from the considered classes is given by means of a notion of ω-capacity on the real axis, which becomes an analog of Frostman’s α-capacity in a particular case.
Негізгі сөздер
Авторлар туралы
A. Jerbashian
Institute of Mathematics
Хат алмасуға жауапты Автор.
Email: armen_jerbashian@yahoo.com
Колумбия, Medellin
J. Restrepo
Institute of Mathematics
Email: armen_jerbashian@yahoo.com
Колумбия, Medellin