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Доклады Академии наук Республики Таджикистан
Article . 2013
Data sources: CyberLeninka - Russian open access scientific library
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Об одном классе двумерных сингулярных интегральных операторов с характеристиками, зависящими от полюса

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 Russian Publisher:Президиум Академии наук Республики ТаджикистанJournal:Доклады Академии наук Республики Таджикистан (issn: 0002-3469, eissn: 0002-3469, Copyright policy )

Об одном классе двумерных сингулярных интегральных операторов с характеристиками, зависящими от полюса

Abstract

In this note we establish effective necessary and sufficient conditions for the Noether property for one class of two-dimensional singular integral operators with characteristic depending of pole in the Lebesgue space with a weight, and we obtain formulas for computing their indices.

В работе найдены эффективные необходимые и достаточные условия нётеровости оператора в весовых пространствах Лебега, и получены формулы для вычисления индекса.

Keywords

НЁТЕРОВОСТЬ ОПЕРАТОРА, ИНДЕКС ОПЕРАТОРА, ОПЕРАТОРНАЯ МАТРИЦА, ДВУМЕРНЫЕ СИНГУЛЯРНЫЕ ИНТЕГРАЛЬНЫЕ ОПЕРАТОРЫ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze