Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. Prepublication
- Authors
- Zhabborov, Nasridin M.; Husenov, Behzod E.
- Contact information
- Zhabborov, Nasridin M. : Tashkent State University of Economics Tashkent, Uzbekistan; Bukhara State University Bukhara, Uzbekistan; ; Husenov, Behzod E. : Bukhara State University Bukhara, Uzbekistan;
- Keywords
- A(z)-analytic function; Hardy class; A(z)-lemniscate; multiple Cauchy integral formula for A(z)-analytic functions
- Abstract
In this paper, an analogue of the Carleman formula is proved for A(z)-analytic functions from the Hardy class. The idea of obtaining the Carleman formulas and the concept of the Carleman function for A(z)-analytic functions from the Hardy class belong to M.M. Lavrentiev. In the proof of Carleman’s formula, A(z)-harmonic functions and the Poisson formula in lemniscates L(a, r), compactly belonging to the domain under consideration D ⊂ C, are used substantially
- Pages
- 474–483
- EDN
- CQMLLF
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/156172
Journal of Siberian Federal University. Mathematics & Physics / Analogue of the Carleman’s Formula for A(z)-analytic Functions
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