Rahim M. Rzaev - Academia.edu (original) (raw)
Специалисть в области математики "Теория функций и теория интегральных операторов в функциональных пространствах".
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Papers by Rahim M. Rzaev
Ukrainian Mathematical Journal, Feb 1, 2022
American Journal of Mathematics and Statistics, 2015
American Journal of Mathematics and Statistics, 2013
Ukraïnsʹkij matematičnij žurnal, Sep 16, 2021
УДК 517.518.13 Вивчено поведiнку багатовимiрного сингулярного iнтегрального оператора у функцiона... more УДК 517.518.13 Вивчено поведiнку багатовимiрного сингулярного iнтегрального оператора у функцiональних просторах, якi визначаються за допомогою умов на узагальнену осциляцiю функцiї.
Ukrainian Mathematical Journal, 2017
Central European Journal of Mathematics, Sep 6, 2008
American Journal of Mathematics and Statistics, 2013
It is well known that potential type integrals play an important role in research of the partial ... more It is well known that potential type integrals play an important role in research of the partial differential equations. The present paper studies properties of Riesz potential in terms of local oscillation of functions. n n LR f f ess f x x R
American Journal of Mathematics and Statistics, 2015
This paper is devoted to the study of certain generalized maximal function (Φ-maximal function) m... more This paper is devoted to the study of certain generalized maximal function (Φ-maximal function) measuring smoothness. In this work we essentially use the relation between maximal function measuring smoothness and oscillation of functions.
In this paper radial boundary values of Cauchy type integral are investigated when conditions on ... more In this paper radial boundary values of Cauchy type integral are investigated when conditions on integral density are set in terms of mean oscillation of functions. Corresponding statements about boundary values of Poisson integral and conjugate Poisson integral are proved.
American Journal of Mathematics and Statistics, 2015
Pure and Applied Mathematics Journal, 2014
Central European Journal of Mathematics, 2008
On local properties of functions and singular integrals in terms of the mean oscillation, 2008
This paper is devoted to research on local properties of functions and multidimensional singular ... more This paper is devoted to research on local properties of functions and multidimensional singular integrals in terms of their mean oscillation. The conditions guaranteeing existence of a derivative in the L-sense at a given point are found. Spaces which remain invariant under singular integral operators are considered. MSC: 26B35, 42B20
Ukrainian Mathematical Journal, Feb 1, 2022
American Journal of Mathematics and Statistics, 2015
American Journal of Mathematics and Statistics, 2013
Ukraïnsʹkij matematičnij žurnal, Sep 16, 2021
УДК 517.518.13 Вивчено поведiнку багатовимiрного сингулярного iнтегрального оператора у функцiона... more УДК 517.518.13 Вивчено поведiнку багатовимiрного сингулярного iнтегрального оператора у функцiональних просторах, якi визначаються за допомогою умов на узагальнену осциляцiю функцiї.
Ukrainian Mathematical Journal, 2017
Central European Journal of Mathematics, Sep 6, 2008
American Journal of Mathematics and Statistics, 2013
It is well known that potential type integrals play an important role in research of the partial ... more It is well known that potential type integrals play an important role in research of the partial differential equations. The present paper studies properties of Riesz potential in terms of local oscillation of functions. n n LR f f ess f x x R
American Journal of Mathematics and Statistics, 2015
This paper is devoted to the study of certain generalized maximal function (Φ-maximal function) m... more This paper is devoted to the study of certain generalized maximal function (Φ-maximal function) measuring smoothness. In this work we essentially use the relation between maximal function measuring smoothness and oscillation of functions.
In this paper radial boundary values of Cauchy type integral are investigated when conditions on ... more In this paper radial boundary values of Cauchy type integral are investigated when conditions on integral density are set in terms of mean oscillation of functions. Corresponding statements about boundary values of Poisson integral and conjugate Poisson integral are proved.
American Journal of Mathematics and Statistics, 2015
Pure and Applied Mathematics Journal, 2014
Central European Journal of Mathematics, 2008
On local properties of functions and singular integrals in terms of the mean oscillation, 2008
This paper is devoted to research on local properties of functions and multidimensional singular ... more This paper is devoted to research on local properties of functions and multidimensional singular integrals in terms of their mean oscillation. The conditions guaranteeing existence of a derivative in the L-sense at a given point are found. Spaces which remain invariant under singular integral operators are considered. MSC: 26B35, 42B20