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# 山田　雅博

更新日: 16/03/07 16:15

研究者氏名 山田　雅博 ヤマダ　マサヒロ 岐阜大学 教育学部 修士(理学), 博士(理学)

2013年

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1992年

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1990年

## Misc

Yôsuke Hishikawa, Masaharu Nishio, Masahiro Yamada
Potential Analysis   40 525-537   2014年1月
The parabolic Bergman space is the set of all Lp-solutions of the parabolic operator L (α). In this paper, we define L (α)-conjugates by using fractional derivatives, which are the extension of harmonic conjugates. We study several properties of L...
Yǒsuke Hishikawa, Masaharu Nishio, Masahiro Yamada
Journal of the Mathematical Society of Japan   65 487-520   2013年8月
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 ...
Masaharu Nishio, Noriaki Suzuki, Masahiro Yamada
Kodai Mathematical Journal   36 38-49   2013年4月
We define the Toeplitz operators on the parabolic Bergman spaces by using a positive bilinear form. In this setting we characterize finite rank Toeplitz operators. A relation with the Carleson inclusion is also discussed.
Hokkaido Mathematical Journal   41 335-364   2012年12月
Let H be the upper half-space of the Euclidean space. The Α-parabolic Bloch type space ßΑ(σ) on H is the set of all solutions u of the parabolic equation (∂/∂t + (-Δx)α)u = 0 with 0 <α≤1which belong to C1(H) and have finite Bloch norm with weight ...
Masaharu Nishio, Noriaki Suzuki, Masahiro Yamada
Kodai Mathematical Journal   35 52-77   2012年4月
Let 0 < α ≤ 1 and let b 2 α a be a Hilbert space of all square integrable solutions of a parabolic equation (∂ t+(-Δ α) U= 0 on the upper half space. We study the Toeplitz operators on b 2 α, which we characterize to be of Schatten class whose exp...