학술논문
ON EQUIVALENT NORMS TO BLOCH NORM IN C
이용수 2
- 영문명
- 발행기관
- 충청수학회
- 저자명
- Ki Seong Choi
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 19, No. 4, 1~10쪽, 전체 10쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 2006.12.30
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국문 초록
영문 초록
For f ∈ L 2 (B, dν), k f k BM O = g |f | 2 (z) − |˜f (z)| 2 . For f
continuous on B, k f k BO = sup{w(f )(z) : z ∈ B} where w(f )(z) = sup{|f (z) − f (w)| : β(z, w) ≤ 1}. In this paper, we will show that if f ∈ BM O, then k f k BO ≤ M k f k BM O . We will also show that if f ∈ BO, then k f k BM O ≤ M k f k 2
BO . A holomorphic function f : B → C
is called a Bloch function (f ∈ B) if k f k B = sup z∈B Qf (z) < ∞. In this
paper, we will show that if f ∈ B, then k f k BO ≤k f k B . We will also show
that if f ∈ BM O and f is holomorphic, then k f k 2 B ≤ M k f k BM O .
목차
1. Introduction
2. Relationship between k f k BM O and k f k 2
BO
3. Equivalent norms to k f k B
키워드
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