4 papers
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…
Some mudular inequalities in Lebesgue spaces with variable exponent
Mitsuo Izuki, Takahiro Noi, Yoshihiro Sawano
Our aim is to study the modular inequalities for some operators, for example the Bergman projection acting on, in Lebesgue spaces with variable exponent. Under proper assumptions o…
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…
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…