YAMADA Masahiro

J-GLOBAL         Last updated: Mar 31, 2019 at 21:37
 
Avatar
Name
YAMADA Masahiro
Affiliation
Gifu University
Section
Faculty of Education
Degree
(BLANK)

Profile

Bergman spaces/A study of function spaces, and operators on those spaces

Research Areas

 
 

Education

 
 
 - 
1992
Graduate School, Division of Natural Science, Hokkaido University
 
 
 - 
1990
Faculty of Education, Hokkaido University of Education
 

Misc

 
Yôsuke Hishikawa, Masaharu Nishio, Masahiro Yamada
Hokkaido Mathematical Journal   39 85-114   Dec 2010
The α-parabolic Bergman space bp α(λ) is the Banach space of solutions of the parabolic equation L(α) = ∂/=∂t + (-Δx)α on the upper half space H which have finite Lp(H; tλdV) norms, where tαdV is the weighted Lebesgue volume measure on H. It is kn...
Masaharu Nishio, Noriaki Suzuki, Masahiro Yamada
Tohoku Mathematical Journal   62 269-286
We study Carleson inequalities on parabolic Bergman spaces on the upper half space of the Euclidean space. We say that a positive Borel measure satisfies a (p, q)-Carleson inequality if the Carleson inclusion mapping is bounded, that is, q-th orde...
Masaharu Nishio, Masahiro Yamada
Journal of the Mathematical Society of Japan   58 83-96
Let bα p, < α ≤ 1, be the parabolic Bergman space, the Banach space of solutions of parabolic equations (∂/∂t+(-Δ)α)u = 0 on the upper half space R+ n+1 which have finite Lp norms. We study Carleson type measures on bα p and give a necessary and s...
Masaharu Nishio, Noriaki Suzuki, Masahiro Yamada
Hiroshima Mathematical Journal   38 177-192   Jul 2008
Parabolic Bergman space bp α is a Banach space of all p-th integrable solutions of a parabolic equation (∂/∂+(-Δα)u=0 on the upper half space, where 0<α ≤1 and 1≤ p < ∞. In this note, we consider the Toeplitz operator from bp α to bq α where p ≤ q...
Yǒsuke Hishikawa, Masaharu Nishio, Masahiro Yamada
Journal of the Mathematical Society of Japan   65 487-520
Let H be the upper half-space of the (n + 1)-dimensional Euclidean space. Let 0 < α ≤ 1 and m(α) = min{1, 1/(2α)}. For σ > -m(α), the α-parabolic Bloch type space B α(σ) on H is the set of all solutions u of the equation (δ/δt + (-Δx)α)u = 0 with ...

Research Grants & Projects

 
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2006 - 2008    Investigator(s): Masahiro YAMADA
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(C))
Project Year: 2002 - 2003    Investigator(s): Masahiro YAMADA
We study boudedness of Toeplitz operators. Let Tex be the upper half-space of the Tex-dimensional Euclidean space. For Tex, let Tex be the class of aliharmonic functions Tex on Tex. The class Tex is called the harmonic...
Riesz's functions and Carleson inequalities in Bergman spaces.
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
Project Year: 2013 - 2015
Japan Society for the Promotion of Science: Grants-in-Aid for Scientific Research
Project Year: 2013 - 2015