Multipliers of Bergman Spaces

• 발행기관: 충청수학회
• 저자명: DO YOUNG KWAK GWANG HUI KIM
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 1, No. 1, 27~32쪽, 전체 6쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 1988.06.30

영문 초록

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.

목차

ABSTRACT

1. Introduction

2. Average of μ over B(a, r)

REFERENCES