Boundedness of the anisotropic maximal and anisotropic singular integral operators in generalized Morrey spaces

Abstract

In this paper we give the conditions on the pair (omega (1), omega (2)) which ensures the boundedness of the anisotropic maximal operator and anisotropic singular integral operators from one generalized Morrey space M-p,M-omega 1 to another M-p,M-omega 2, 1 < p < infinity, and from the space M-1,M-omega 1 to the weak space WM1,omega 2.