A GENERALIZATION OF MULTIPLIER THEOREM TO THE BALL

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In this paper, we study the multipliers of A(q)p into L(p') when 0 < p' < p and when the domain is a ball in C(n). The case of disk with q = 1 was done by Luecking3. For this purpose, we study the conditions on the measure mu-satisfying A(q)p subset-of A(p') (d-mu). It turns out, as in the case of disk, that the quotient k(q) = mu/nu-q over hyperbolic ball of radius less than 1 belongs to L(q)p where 1/s + p'/p = 1.
Publisher
INDIAN NAT SCI ACAD
Issue Date
1991-07
Language
English
Article Type
Article
Keywords

BERGMAN SPACES; INTERPOLATION

Citation

INDIAN JOURNAL OF PURE APPLIED MATHEMATICS, v.22, no.7, pp.547 - 552

ISSN
0019-5588
URI
http://hdl.handle.net/10203/59329
Appears in Collection
MA-Journal Papers(저널논문)
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