全纯函数空间上几个量的等价刻画问题

Abstract

Abstract:

In this paper, the expression under the action of fractional derivative and fractional integral for a common function on the unit ball of several complex variables is improved. At the same time, the equivalent norms of the fractional differential on two holomorphic function spaces are improved, and the constraint conditions β=s+N for the fractional differential R^{s, t} and R^{β, t} in the equivalent norms are removed, where N is a positive integer.

Key words: Fractional derivative, Fractional integral, Equivalent characterization, Unit ball

CLC Number:

O174.56

Pengcheng Tang,Xuejun Zhang,Ruixin Lv. Equivalent Characterization of Several Quantities on Holomorphic Function Spaces[J].Acta mathematica scientia,Series A, 2019, 39(6): 1291-1299.

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References 18

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Equivalent Characterization of Several Quantities on Holomorphic Function Spaces

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