HARDY OPERATORS IN THE LOCAL "COMPLEMENTARY"
GENERALIZED VARIABLE EXPONENT WEIGHTED
MORREY SPACES
Zuleyxa O. Azizova
Azerbaijan State Oil and Industry University
AZ 1010, Baku, 20 Azadlig Ave., AZERBAIJAN

Abstract

In this paper we consider local “complementary" generalized weighted Morrey spaces ${{}^c \cal M}_{\{x_0\}}^{p(\cdot),\omega,\varphi}(\Omega)$ with variable exponent $p(x)$ and a general function $\omega(r)$ defining the weighted Morrey-type norm. We prove the boundedness of the Hardy operators in the spaces ${{}^c \cal M}_{\{x_0\}}^{p(\cdot),\omega,\varphi}(\Omega)$ in case of unbounded sets $\Omega \subset R^n$.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 4
Year: 2020

DOI: 10.12732/ijam.v33i4.11

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