Existence of boundary values of Hardy class functions H¹_A

Authors

Nasridin Zhabborov, Belorussian-Uzbek joint intersectoral institute of applied technical qualifications in Tashkent, Tashkent, UzbekistanFollow
Shokhruh Khursanov, National University of Uzbekistan, Tashkent, UzbekistanFollow
Behzod Husenov, Bukhara State University, Bukhara, UzbekistanFollow

Abstract

We consider A(z)-analytic functions in case when A(z) is antianalytic function. In this paper, the Hardy class for A(z)-analytic functions are introduced and for these classes, the boundary values of the function are investigated. For the Hardy class of functions H¹_A, an analogue of Fatou's theorem was proved about that the bounded functions have the boundary values. As the main result, the boundary uniqueness theorem for Hardy classes of functions H¹_A is proven.

First Page

79

Last Page

90

References

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Recommended Citation

Zhabborov, Nasridin; Khursanov, Shokhruh; and Husenov, Behzod (2022) "Existence of boundary values of Hardy class functions H¹_A," Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 5: Iss. 2, Article 3.
DOI: https://doi.org/10.56017/2181-1318.1218