Applied Sciences
| Open Access |
DOI: 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, UzbekistanAbstract
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.
Keywords
Bisingular integral operator, Zigmund type estimate
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