Product type operators on $(\alpha,p)$-Besov Zygmund spaces

Document Type : Original Article

Authors

1 Department of Pure Mathematics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan, Iran

2 Engineering Faculty of Khoy, Urmia University of Technology, Urmia, Iran

3 Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran

4 Department of Mathematics, Mahabad Branch, Islamic Azad University, Mahabad, Iran

Abstract

‎‎In this paper‎, ‎we consider the boundedness and compactness of operator $M_uC_\psi$ between $(\alpha,p)$-Besov Zygmund spaces in terms of Carleson type measures‎. ‎Also we obtain some equivalent statements for the boundedness and compactness of a generalized product type operator $T_{u_1,u_2,\psi}$ which is well-knows as Stevi'c-Sharma operator between $(\alpha,p)$-Besov Zygmund spaces‎.

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