학술저널
Multipliers of Bergman Spaces
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 1, No. 1
-
1988.0627 - 32 (6 pages)
- 3
In this paper, we study the multipliers of Apq into Lp’ when 0 < p’ < p. For this purpose, we study the condition on the measure μ satisfying Apq ⊂ Ap’(dμ). It turns out that the quotient kq=μ/vq over hyperbolic ball of radius less than 1 belongs to Lsq, where ⅓+p’/p=1. For the proof, we replace the norm of kq by the Riemann sum, and then use a result of interpolation theory.
ABSTRACT
1. Introduction
2. Average of μ over B(a, r)
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