57 citations · 74 across the 15 of their papers we have counts for
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Fractional operators on weighted Morrey spaces
Shohei Nakamura, Yoshihiro Sawano, Hitoshi Tanaka
A necessary condition and a sufficient condition for one weight norm inequalities on Morrey spaces to hold are given for the fractional maximal operator and the fractional integral…
The singular integral operator and its commutator on weighted Morrey spaces
Shohei Nakamura, Yoshihiro Sawano
In this paper, we give necessary conditions and sufficient conditions respectively for the boundedness of the singular integral operator on the weighted Morrey spaces. We observe t…
Generalized Morrey spaces and trace operator
Shohei Nakamura, Takahiro Noi, Yoshihiro Sawano
The theory of generalized Besov-Morrey spaces and generalized Triebel-Lizorkin-Morrey spaces is developed. Generalized Morrey spaces, which T. Mizuhara and E. Nakai proposed, are e…