1,720,979 research outputs found

    Strong Limits of M-subharmonic Functions

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    Article信州大学理学部紀要 22(1): 1-10(1987)departmental bulletin pape

    On a Theorem of G. Benke and D.-C. Chang

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    Let B denote the unit ball in Cⁿ, and ν the normalized Lebesgue measure on B. For α>-1, define dνα(z) = (1-|z|²)αdν(z), z∈B. Let H(B) denote the space of all holomorphic functions in B. G.Benke and D.-C. Chang [1] have recently characterized the weighted Bergman spaces Ap(νa)≡Lp(νa)∩H(B) as those functions in H(B) whose images under the action of a certain set of differential operators lie in Lp(νa). In the present paper we introduce some new operators and give another proof of their theorem

    The strict inclusion relation between the spaces Hφ(U) on the open unit disc U in C

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    Article信州大学理学部紀要 18(1): 1-10(1983)departmental bulletin pape

    On Determining Sets for N(Bn) and Hp(Bn)

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    Article信州大学理学部紀要 18(2): 55-62(1984)departmental bulletin pape
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