논문KCI 등재
A NOTE OF WEIGHTED COMPOSITION OPERATORS ON BLOCH-TYPE SPACES
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We obtain a new criterion for the boundedness and compactness of the weighted composition operators ψCφ from Bα(0 < α < 1) to Bβ in terms of the sequence {ψφn}. An estimate for the essential norm of ψCφ is also given.
Abstract
We obtain a new criterion for the boundedness and compactness of the weighted composition operators ψCφ from Bα(0 < α < 1) to Bβ in terms of the sequence {ψφn}. An estimate for the essential norm of ψCφ is also given.
참고문헌 (16)
- J. Anderson, "On Bloch functions and normal functions", J. Reine Angew. Math, 270, pp.12~37 (1974)
- M. Contreras, "Weighted composition operators in weighted Ba-nach spaces of analytic functions", J. Austral. Math. Soc. Ser. A, 69(1), pp.41~60 (2000)
- C. C. Cowen, "Composition Operators on Spaces of Analytic Func-tions, Studies in Advanced Mathematics" (1995), CRC Press
- S. Li, "Weighted composition operators from Bergman-type spaces into Bloch spaces", Proc. Indian Acad. Sci. Math. Sci, 117(3), pp.371~385 (2007)
- Z. Lou, "Composition operators on Bloch type spaces", Analysis, 23(1), pp.81~95 (2003)
- B. Maccluer, "Essential norm of weighted composition operators between Bloch-type spaces", Rocky Mountain J. Math, 33(4), pp.1437~1458 (2003)
- K. Madigan, "Compact composition operators on the Bloch space", Trans. Amer. Math. Soc, 347(7), pp.2679~2687 (1995)
- J. Manhas, "New estimates of essential norms of weighted composition operators between Bloch type spaces", J. Math. Anal. Appl, 389(1), pp.32~47 (2012)
- A. Montes-Rodriguez, "Weighted composition operators on weighted Banach spaces of analytic functions", J. London Math. Soc, 61(3), pp.872~884 (2000)
- S. Ohno, "Weighted composition operators between Bloch-type spaces", Rocky Mountain J. Math, 33(1), pp.191~215 (2003)
- S. Ohno, "Weighted composition operators on the Bloch space", Bull. Austral. Math. Soc, 63(2), pp.177~185 (2001)
- S. Stevi´c, "Weighted composition operators from logarithmic Bloch-type spaces to Bloch-type spaces", J. Inequal. Appl, 2009, pp.21~ (2009)
- H. Wulan, "Compact composition operators on BMOA and the Bloch space", Proc. Amer. Math. Soc, 137(11), pp.3861~3868 (2009)
- R. Zhao, "Essential norms of composition operators between Bloch type spaces", Proc. Amer. Math. Soc, 138(7), pp.2537~2546 (2010)
- K. Zhu, "Bloch type spaces of analytic functions", Rocky Mountain J. Math, 23(3), pp.1143~1177 (1993)
- K. Zhu, "Operator Theory in Function Spaces" (2007), American Mathematical Society
관련 논문AI추천
NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALLZe-Hua Zhou, Zhong-Shan Fang대한수학회 · 대한수학회보2015 · 제52권 제3호A WEIGHTED COMPOSITION OPERATOR ON THE LOGARITHMIC BLOCH SPACEShanli Ye대한수학회 · 대한수학회보2010 · 제47권 제3호WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s) INTO LOGARITHMIC BLOCH SPACEShanli Ye대한수학회 · 대한수학회지2008 · 제45권 제4호Weighted composition operators from the Kim class and the Smirnov class to weighted Bloch type spacesAjay K. Sharma, Elina Subhadarsini, Mehak Sharma대한수학회 · 대한수학회논문집2018 · 제33권 제4호PRODUCTS OF DIFFERENTIATION AND COMPOSITION OPERATORS FROM THE BLOCH SPACE AND WEIGHTED DIRICHLET SPACES TO MORREY TYPE SPACESQinghua Hu, Songxiao Li대한수학회 · 대한수학회지2017 · 제54권 제2호Essential norm of the composition operators between Bergman spaces of logarithmic weights권언근, 이진기대한수학회 · 대한수학회보2017 · 제54권 제1호
이 간행물의 다른 논문 (26건)
RESULTS ON MEROMORPHIC FUNCTIONS SHARING THREE VALUES WITH THEIR DIFFERENCE OPERATORSHong-Xun Yi, Cong-Yun Kang, Xiao-Min Lipp. 1401-1422CLIQUE-TRANSVERSAL SETS IN LINE GRAPHS OF CUBIC GRAPHS AND TRIANGLE-FREE GRAPHSErfang Shan, Liying Kangpp. 1423-1431CIRCLE-FOLIATED MINIMAL SURFACES IN 4-DIMENSIONAL SPACE FORMS박성호pp. 1433-1443SPECTRAL APPROXIMATIONS OF ATTRACTORS FOR CONVECTIVE CAHN-HILLIARD EQUATION IN TWO DIMENSIONSXiaopeng Zhaopp. 1445-1465GENERALIZED LUCAS NUMBERS OF THE FORM 5kx2 AND 7kx2Refik Keskin, Olcay Karaatlipp. 1467-1480