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

WOS: 000297117900007In 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.Science Development Foundation under the Republic of AzerbaijanScience Development Foundation (SDF) - Azerbaijan [EIF-2010-1(1)-40/06-1]; Scientific and Technological Research Council of Turkey (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [110T695]Supported by the grant of Science Development Foundation under the President of the Republic of Azerbaijan project EIF-2010-1(1)-40/06-1; the first author is partially supported by the Scientific and Technological Research Council of Turkey (TUBITAK Project No. 110T695