Zobrazeno 1 - 10 of 12 pro vyhledávání: '"K. Yu. Fedorovskiy"'
1
On Lip(ω)-Continuity of the Operator of Harmonic Reflection Over Boundaries of Simple Carathéodory Domains
Autor: E. V. Borovik, K. Yu. Fedorovskiy
Publikováno v: Journal of Mathematical Sciences. 251:200-206
We study continuity conditions for the operator of harmonic reflection of functions over boundaries of simple Caratheodory domains. This operator is considered as one acting from a space of functions of Lipschitz–Holder type defined by a general mo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e51a64252c209b40ec2c56557682bea9
https://doi.org/10.1007/s10958-020-05079-3
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2
On -reflection of harmonic functions and -approximation by harmonic polynomials
Autor: K. Yu. Fedorovskiy, P. V. Paramonov
Publikováno v: Sbornik: Mathematics. 211:1159-1170
We obtain several new sharp -continuity conditions, both necessary and sufficient, for operators of harmonic reflection of functions over boundaries of simple Carathéodory domains in . These results are based on a new criterion (also obtained in thi
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::07d902df7c282920c40471089b96dd87
https://doi.org/10.1070/sm9295
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6
Two problems on approximation by solutions of elliptic systems on compact sets in the plane
Autor: K. Yu. Fedorovskiy
Publikováno v: Complex Variables and Elliptic Equations. 63:961-975
Motivated by recent results by M. Mazalov about uniform approximation of functions by solutions of elliptic equations with constant complex coefficients we study two problems on approximation of fu...
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c8ea731ffd4bb1c2e4a6cf3869be1fb0
https://doi.org/10.1080/17476933.2018.1427083
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7
C 1 approximation of functions by solutions of second-order elliptic systems on compact sets in ℝ2
Autor: A. O. Bagapsh, K. Yu. Fedorovskiy
Publikováno v: Proceedings of the Steklov Institute of Mathematics. 298:35-50
We consider the problems of C 1 approximation of functions by polynomial solutions and by solutions with localized singularities of homogeneous elliptic second-order systems of partial differential equations on compact subsets of the plane ℝ2. We o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6a4808109428dc482f72fef83b2837ab
https://doi.org/10.1134/s0081543817060037
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9
Density of certain polynomial modules
Autor: K. Yu. Fedorovskiy, Anton Baranov, J. J. Carmona
Publikováno v: Journal of Approximation Theory. 206:1-16
In this paper the problem of density in the space C ( X ) , for a compact set X ? C , of polynomial modules of the type { p + z ? d q : p , q ? C z } for integer d 1 , as well as several related problems are studied. We obtain approximability criteri
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c8e8ea8fcafe9cdcb55463b4dbb2560d
https://doi.org/10.1016/j.jat.2015.02.006
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10
On the density of certain modules of polyanalytic type in spaces of integrable functions on the boundaries of simply connected domains
Autor: K Yu Fedorovskiy
Publikováno v: Sbornik: Mathematics. 207:140-154
We consider the question of the density in the space , , on the unit circle, of the subspaces , where is the standard Hardy space and are given functions in the class . This question is closely related to problems of uniform and -approximations of fu
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::66b5d735763bfa6f05d27cc37b016fa5
https://doi.org/10.1070/sm8455
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