Two-weight norm inequalities on Morrey spaces

2014/04/10 by Tanaka, Hitoshi
#42B25 #42B35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #\

paper · doi:10.48550/arxiv.1404.2692

Abstract

A description of all the admissible weights similar to the Muckenhoupt class A_p is an open problem for the weighted Morrey spaces. In this paper necessary condition and sufficient condition for two-weight norm inequalities on Morrey spaces to hold are given for the Hardy-Littlewood maximal operator. Necessary and sufficient condition is also verified for the power weights.

Related

• Boundedness of operators on certain power-weighted Morrey spaces beyond the Muckenhoupt weights
• Embeddings of Weighted Morrey Spaces
• Boundedness properties in a family of weighted Morrey spaces with emphasis on power weights
• Muckenhoupt-type conditions on weighted Morrey spaces
• Fractional operators on weighted Morrey spaces