본문 바로가기
KERD
논문KCI 등재

Generalized composition operators from generalized weighted Bergman spaces to Bloch type spaces

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

Let H(B) denote the space of all holomorphic functions on the unit ball B of C^n. Let φ=(φ_1,…,φ_n) be a holomorphic self-map of B and g ∈ H(B) with g(0)=0. In this paper we study the boundedness and compactness of the generalized composition operator <수식> from generalized weighted Bergman spaces into Bloch type spaces.

Abstract

Let H(B) denote the space of all holomorphic functions on the unit ball B of C^n. Let φ=(φ_1,…,φ_n) be a holomorphic self-map of B and g ∈ H(B) with g(0)=0. In this paper we study the boundedness and compactness of the generalized composition operator <수식> from generalized weighted Bergman spaces into Bloch type spaces.

참고문헌 (12)

  1. C. C. Cowen, "Composition Operators on Spaces of Analytic Functions" (1995), CRC Press
  2. Z. Hu, "Extended Cesaro operators on mixed norm spaces", Proc. Amer. Math. Soc., 131(7), pp.2171~2179 (2003)
  3. S. Li, "Riemann-Stieltjes operators from F(p, q, s) spaces to ®-Bloch spaces on the unit ball", J. Inequal. Appl., 14~ (2006)
  4. Songxiao Li, "Volterra composition operators between weighted bergman spaces and Bloch type spaces", 대한수학회지, 45(1), pp.229~248 (2008), 대한수학회
  5. S. Li, "Weighted composition operators from Bergman-type spaces into Bloch spaces", Proc. Indian Acad. Sci. Math. Sci., 117(3), pp.371~385 (2007)
  6. S. Li, "Compactness of Riemann-Stieltjes operators between F(p, q, s) spaces and ®- Bloch spaces", Publ. Math. Debrecen, 72(1), pp.111~128 (2008)
  7. S. Li, "Generalized composition operators on Zygmund spaces and Bloch type spaces", J. Math. Anal. Appl., 338(2), pp.1282~1295 (2008)
  8. K. Madigan, "Compact composition operators on the Bloch space", Trans. Amer. Math. Soc., 37(7), pp.2679~2687 (1995)
  9. J. Shapiro, "Composition Operators and Classical Function Theory, Universitext: Tracts in Mathematics" (1993), Springer-Verlag
  10. R. Zhao, "Theory of Bergman spaces on the unit ball", Mem. Soc. Math. France, ~ (2008)
  11. K. Zhu, "Operator Theory in Function Spaces, Monographs and Textbooks in Pure and Applied Mathematics", Marcel Dekker, Inc., 139 (1990)
  12. K. Zhu, "Spaces of Holomorphic Functions in the Unit Ball", Graduate Texts in Mathematics, 226 (2005), Springer-Verlag

관련 논문AI추천

이 간행물의 다른 논문 (15건)