Regularity theorems for harmonic functions

• Autorzy: Ganenkova E. G. , Starkov V. V.

Identyfikatory

DOI

10.1515/jaa-2015-0003

• Języki publikacji: EN

Abstrakty

EN

The regularity theorem is a result stating that functions which have extremal growth or decrease in the given class display a regular behaviour. Such theorems for linearly invariant families of analytic functions are well known. We prove regularity theorems for some classes of harmonic functions. Many presented statements are new even in the analytic case.

Słowa kluczowe

EN

regularity theorem; harmonic functions

PL

twierdzenie regularnościowe; funkcje harmoniczne

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2015
• Tom: Vol. 21, nr 1
• Strony: 25--36
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Ganenkova E. G.

• Faculty of Mathematics, Petrozavodsk State University, Lenina Ave. 33, 185910 Petrozavodsk, Russia

autor

Starkov V. V.

• Faculty of Mathematics, Petrozavodsk State University, Lenina Ave. 33, 185910 Petrozavodsk, Russia

Bibliografia

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