- LITTLE HANKEL OPERATORS ON WEIGHTED BLOCH SPACES IN Cn
- ㆍ 저자명
- Choi. Ki-Seong
- ㆍ 간행물명
- Communications of the Korean Mathematical Society
- ㆍ 권/호정보
- 2003년|18권 3호|pp.469-479 (11 pages)
- ㆍ 발행정보
- 대한수학회
- ㆍ 파일정보
- 정기간행물| PDF텍스트
- ㆍ 주제분야
- 기타
Let B be the open unit ball in $C^{n}$ and ${mu}_{q}$(q > -1) the Lebesgue measure such that ${mu}_{q}$(B) = 1. Let ${L_{a,q}}^2$ be the subspace of ${L^2(B,D{mu}_q)$ consisting of analytic functions, and let $overline{{L_{a,q}}^2}$ be the subspace of ${L^2(B,D{mu}_q)$) consisting of conjugate analytic functions. Let $ar{P}$ be the orthogonal projection from ${L^2(B,D{mu}_q)$ into $overline{{L_{a,q}}^2}$. The little Hankel operator ${h_{varphi}}^{q};:;{L_{a,q}}^2;{ ightarrow};{overline}{{L_{a,q}}^2}$ is defined by ${h_{varphi}}^{q}(cdot);=;{ar{P}}({varphi}{cdot})$. In this paper, we will find the necessary and sufficient condition that the little Hankel operator ${h_{varphi}}^{q}$ is bounded(or compact).