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math.FA2019
Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent
Mitsuo Izuki, Toru Nogayama, Takahiro Noi +1
Our aim in this paper is to characterize local Muckenhoupt weighted Lebesgue spaces with variable exponent by compactly supported smooth wavelets. We also investigate necessary and…
math.FA2016
An intrinsic square function on weighted Herz spaces with variable exponent
Mitsuo Izuki, Takahiro Noi
We define new generalized Herz spaces having weight and variable exponent, that is, weighted Herz spaces with variable exponent. We prove the boundedness of an intrinsic square fun…
math.FA2016
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…