Two-weighted norm inequality on weighted Morrey spaces

Authors: XIAOFENG YE, TENGFEI WANG

Abstract: Let u and \omega be weight functions. We shall introduce the weighted Morrey spaces L^{p,\kappa} (\omega) and investigate the sufficient condition and necessary condition about the 2-weighted boundedness of the Hardy--Littlewood maximal operator.

Keywords: Weighted Morrey spaces, Hardy--Littlewood maximal operator, A_p weights

Full Text: PDF