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Applied Sciences OPEN ACCESS

Bisingular Integral In The Space Of Summable Functions

Тolliboy Absalomov
Ph.D., Associate Professor, Samarkand State University, Uzbekistan
Buvraziya Fayzullayeva
Ph.D., Associate Professor, Samarkand State University, UzbekistanPh.D., Associate Professor, Samarkand State University, Uzbekistan
DOI Crossref DOI 10.37547/tajas/Volume02Issue08-04
tajas 2020
VOL. 2 / NO. 08 AUGUST
FULL TEXT PP. 21-30
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VOLUME 2
ISSUE 08
YEAR 2020
PAGES 21-30
RESEARCH OVERVIEW

Abstract

It is obtained a Zigmund type estimate for the bisingular integral in the space of Summation
functions. It is constructed an invariant functional space based on the inequality. Using the method
of successive approximations it is proven the solvability of the nonlinear bisingular integral equation
in invariant space.

RESEARCH TOPICS

Keywords

Bisingular integral operator Zigmund type estimate

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