Characterizations of Some Operators on the Vanishing Weak Morrey Type Spaces
Received:April 23, 2017  Revised:September 22, 2017
Key Word: weight Hardy operator   maximal operator   potential operator   singular integral operator   weak Morrey space
Fund ProjectL:Supported by the Natural Science Foundation of Ningxia (Grant No.NZ15055); Institution of Higher Education Scientific Research Project in Ningxia (Grant No.NGY2017011) and the National Natural Science Foundation of China (Grant Nos.11261041; 11361044).
 Author Name Affiliation Pinhong LONG School of Mathematics and Statistics, Ningxia University, Ningxia 750021, P. R. China Huili HAN School of Mathematics and Statistics, Ningxia University, Ningxia 750021, P. R. China Hua HU School of Mathematics and Statistics, Ningxia University, Ningxia 750021, P. R. China
Hits: 82
In this paper we mainly give some characterizations for the boundedness of the weight Hardy operator, maximal operator, potential operator and singular integral operator on the vanishing generalized weak Morrey spaces $VW\mathcal{L}^{p, \varphi}_{\Pi}(\Omega)$ with bounded set $\Omega$.