α-parabolic bergman spaces
α-parabolic bergman spaces
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DOI：
10.18910/7024
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发表时间：
2005-03
影响因子：
0.4
通讯作者：
Masaharu Nishio;Katsunori Shimomura;N. Suzuki
中科院分区：
文献类型：
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作者：
Masaharu Nishio;Katsunori Shimomura;N. Suzuki
抛物型Bergman空间B是方程（+（））= 0在上半空间上的所有次可积解的集合，其中0 1和1。将获得上述的惠更斯性质。在证明了空间b构成Banach空间之后，我们讨论了它的基本性质.例如，对于对偶，（B）= B（1）和（b1）= B R，其中是指数共轭，B是抛物Bloch空间.
Abstract The -parabolic Bergman space b is the set of all -th integrable solutions of the equation( + ( ) ) = 0 on the upper half space, where 0 1 and 1 . The Huygens property for the above will be obtained. After verifying that the spaceb forms a Banach space, we discuss the fundamental properties. For example, as for the duality, (b ) = b for 1 and (b1) = B R are shown, where is the exponent conjugate to and B is the -parabolic Bloch space.