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4 papers
An example of a space on which the Cauchy-Leray-Fantappiè operator for complex ellipsoid is not bounded
Aleksandr Rotkevich
We construct an example of a Lebesgue space with variable exponent on which Cauchy-Leray-Fantappiè operator associated with a complex ellipsoid is not bounded. This result extends…
Constructive description of Hardy-Sobolev spaces in strictly pseudoconvex domains with minimal smoothness
Aleksandr Rotkevich
Let be a strictly pseudoconvex Runge domain with -smooth defining function, We prove that the holomorphic function $…
Constructive description of analytic Besov spaces in strictly pseudoconvex domains
Aleksandr Rotkevich
We use the method of pseudoanalytic continuation to obtain a characterization of spaces of holomorphic functions with boundary values in Besov spaces in terms of polynomial approxi…
External area integral inequality for the Cauchy-Leray-Fantappié integral
Aleksandr Rotkevich
In this paper we extend Luzin inequality for functions deined by the Cauchy-Leray-Fantappié integral on the complement of a convex domain in . The work is supported b…