Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Takuya Sobukawa"'
Publikováno v:
Высшее образование в России, Vol 28, Iss 2, Pp 63-68 (2019)
In these days, mathematics is one of the most important tools for any person. However, in Japan, many students hate and avoid mathematics in their high school age. In Waseda University, one of the biggest and oldest private universities in Japan, spe
Externí odkaz:
https://doaj.org/article/254f42b690194aa19c98e2d6668df5d8
Autor:
Takuya Sobukawa, Megumi Sano
Publikováno v:
Mathematical Inequalities & Applications. :1425-1440
The classical Hardy inequality holds in Sobolev spaces $W_0^{1,p}$ when $1\le p< N$. In the limiting case where $p=N$, it is known that by adding a logarithmic function to the Hardy potential, some inequality which is called the critical Hardy inequa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a16777151e4e48fc0a8ee56b427094d
https://doi.org/10.7153/mia-2020-23-102
https://doi.org/10.7153/mia-2020-23-102
Autor:
Yoshihiro Sawano, Denny Ivanal Hakim, Tamara Tararykova, Takuya Sobukawa, Victor Burenkov, Eiichi Nakai
Publikováno v:
Georgian Mathematical Journal. 28:341-348
We prove that block spaces defined on ℝ n {\mathbb{R}^{n}} with an arbitrary Radon measure, which are known to be the preduals of Morrey spaces, are closed under the first and the second complex interpolation method. The proof of our main theorem u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::379e037a0920a13652c2b56ae9c6a821
https://doi.org/10.1515/gmj-2019-2070
https://doi.org/10.1515/gmj-2019-2070
Publikováno v:
Higher Education in Russia. 28:63-68
In these days, mathematics is one of the most important tools for any person. However, in Japan, many students hate and avoid mathematics in their high school age. In Waseda University, one of the biggest and oldest private universities in Japan, spe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2ff73716ee25b86ac45934b7f68de94
https://doi.org/10.31992/0869-3617-2019-28-2-63-68
https://doi.org/10.31992/0869-3617-2019-28-2-63-68
Publikováno v:
Complex Variables and Elliptic Equations. 63:569-590
The upper and lower complex interpolation of -spaces and -spaces are considered. When , and u are finite, we prove that . Otherwise, the space is a closed subspace of . We also establish interpolation results of certain closed subspaces of -spaces an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50bb64c34f277391c7e527d6830a05f9
https://doi.org/10.1080/17476933.2017.1327954
https://doi.org/10.1080/17476933.2017.1327954
Autor:
Eiichi Nakai, Takuya Sobukawa
Publikováno v:
Tokyo J. of Math. 39, no. 2 (2016), 483-516
We introduce $B_w^u$-function spaces which unify Lebesgue, Morrey-Campanato, Lipschitz, $B^p$, CMO, local Morrey-type spaces, etc., and investigate the interpolation property of $B_w^u$-function spaces. We also apply it to the boundedness of linear a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6d854be7a4191b516b9ba34fa572f0e
http://projecteuclid.org/euclid.tjm/1459367270
http://projecteuclid.org/euclid.tjm/1459367270
Publikováno v:
Proceedings of the American Mathematical Society. 134:2329-2334
In 1997 Ferreyra proved that it is impossible to extend the Stein-Weiss theorem in the context of Lorentz spaces. In this paper we obtain an interpolation theorem on Lorentz spaces over weighted measure spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aeef37566b4ae4f146fd1710925aaff1
https://doi.org/10.1090/s0002-9939-06-08395-x
https://doi.org/10.1090/s0002-9939-06-08395-x
Publikováno v:
Journal of Inequalities and Applications, Vol 2006, Iss 1, p 092470 (2006)
We show the boundedness of fractional integral operators by means of extrapolation. We also show that our result is sharp.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::868df1c8a96d89d7fddacb459c8bb6e9
https://doi.org/10.1155/jia/2006/92470
https://doi.org/10.1155/jia/2006/92470
Autor:
Takuya Sobukawa, Jan Seidler
Publikováno v:
Journal of the London Mathematical Society. 67:245-258
Sucient conditions are found for stochastic convolution integrals driven by a Wiener process in a Hilbert space to belong to the Orlicz space expL2; standard exponential tail estimates follow from these results. Proofs are based on the extrapolation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::026c404f1ab79905480ea2705895f495
https://doi.org/10.1112/s0024610702003745
https://doi.org/10.1112/s0024610702003745
Autor:
Amiran Gogatishvili, Takuya Sobukawa
Publikováno v:
Mathematical Inequalities & Applications. :97-104
We present elementary proofs of precise Yano’s type extrapolation estimates on infinite measure space recently proved by M. J. Carro.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d72cebe90aaa3a789421c9d01d015fd0
https://doi.org/10.7153/mia-06-09
https://doi.org/10.7153/mia-06-09