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pro vyhledávání: '"F. V. Hayrapetyan"'
Publikováno v:
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 56:270-279
The paper considers the equation $$\partial f(w)/\partial\overline{w}=u(w)$$ in the upper half-plane $$\Pi_{+}$$ . For a function $$u$$ belonging to the class $$C^{k}$$ ( $$k=1,2,3,\dots,\infty$$ ) and the weighted space $$L^{p}$$ ( $$1\leq p
Autor:
F. V. Hayrapetyan
Publikováno v:
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 55:224-234
For weighted $$L^{p}$$ -classes of holomorphic functions in the unit disc, a family of weighted integral representations with a weighted function of type $$|w|^{2\varphi}\cdot(1-|w|^{2\rho})^{\beta}$$ and with reproducing Mittag–Leffler kernels are