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pro vyhledávání: '"Noi, Takahiro"'
This paper defines local weighted Hardy spaces with variable exponent. Local Hardy spaces permit atomic decomposition, which is one of the main themes in this paper. A consequence is that the atomic decomposition is obtained for the functions in the
Externí odkaz:
http://arxiv.org/abs/2206.05674
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 sufficient conditions for the corresponding modular inequalities to h
Externí odkaz:
http://arxiv.org/abs/1912.03400
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 on the variable exponent, we prove that the modular inequalities are ho
Externí odkaz:
http://arxiv.org/abs/1911.04087
Autor:
Izuki, Mitsuo, Noi, Takahiro
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 function on those spaces under proper assumptions on each exponent and we
Externí odkaz:
http://arxiv.org/abs/1606.01019
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 equipped with a parameter and a function. The trace property is one of
Externí odkaz:
http://arxiv.org/abs/1605.08500
The generalized Morrey space was defined independetly by T. Mizuhara 1991 and E. Nakai in 1994. Generalized Morrey space ${\mathcal M}_{p,\phi}({\mathbb R}^n)$ is equipped with a parameter $0
Externí odkaz:
http://arxiv.org/abs/1511.02020
Autor:
Noi, Takahiro
This paper is concerned with a boundedness of trace and extension operators for Besov spaces and Triebel-Lizorkin spaces on upper half space with variable exponents. To define trace and extension operators, we introduce a quarkonial decomposition for
Externí odkaz:
http://arxiv.org/abs/1410.1185
Akademický článek
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Autor:
Izuki, Mitsuo1 (AUTHOR) izuki@okayama-u.ac.jp, Noi, Takahiro2 (AUTHOR)
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. Jan2020, Vol. 43 Issue 1, p169-200. 32p.
Autor:
Noi, Takahiro, Sawano, Yoshihiro
Publikováno v:
In Journal of Mathematical Analysis and Applications 2012 387(2):676-690