본문 바로가기
KERD
논문KCI 등재

Weighted composition operators from the Kim class and the Smirnov class to weighted Bloch type spaces

Ajay K. Sharma|Mehak Sharma|Elina Subhadarsini
대한수학회 (The Korean Mathematical Society)|2018.10|대한수학회논문집 (Communications of the KMS)|제33권 제4호|pp. 1171-1180

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

weighted composition operatorsKim classSmirnov classweighted Bloch type spaces
주제분류수학

초록

In this paper, we prove that boundedness with respect to metric balls of weighted composition operators from the Kim class and the Smirnov class to weighted Bloch type spaces is equivalent to metrical compactness of weighted composition operators between these spaces.

Abstract

In this paper, we prove that boundedness with respect to metric balls of weighted composition operators from the Kim class and the Smirnov class to weighted Bloch type spaces is equivalent to metrical compactness of weighted composition operators between these spaces.

참고문헌 (13)

  1. J. S. Choa, "Composition operators between Nevanlinna-type spaces", J. Math. Anal. Appl, 257(2), pp.378~402 (2001)
  2. J. S. Choa, "Compact composition operators on the Smirnov class", Proc. Amer. Math. Soc, 128(8), pp.2297~2308 (2000)
  3. B. R. Choe, "Carleson measures for the area Nevanlinna spaces and applications", J. Anal. Math, 104, pp.207~233 (2008)
  4. C. C. Cowen, "Composition operators on spaces of analytic functions, Studies in Advanced Mathematics" (1995), CRC Press
  5. J. B. Garnett, "Bounded Analytic Functions" (1981), Aca-demic Press, Inc
  6. H. O. Kim, "On an F-algebra of holomorphic functions", Canad. J. Math, 40(3), pp.718~741 (1988)
  7. K. Madigan, "Compact composition operators on the Bloch space", Trans. Amer. Math. Soc, 347(7), pp.2679~2687 (1995)
  8. A. K. Sharma, "Products of multiplication, composition and diferentiation between weighted Bergman-Nevanlinna and Bloch-type spaces", Turkish J. Math, 35(2), pp.275~291 (2011)
  9. A. K. Sharma, "Composition operators from Nevanlinna type spaces to Bloch type spaces", Banach J. Math. Anal, 6(1), pp.112~123 (2012)
  10. S. Stevic, "Weighted diferentiation composition operators from H1 and Bloch spaces to nth weighted-type spaces on the unit disk", Appl. Math. Comput, 216(12), pp.3634~3641 (2010)
  11. S. Stevic, "Weighted composition operators from Bergman-Privalov-type spaces to weight-ed-type spaces on the unit ball", Appl. Math. Comput, 217(5), pp.1939~1943 (2010)
  12. S. Stevic, "Composition operators from weighted Bergman-Privalov spaces to Zygmund type spaces on the unit disk", Ann. Polon. Math, 105(1), pp.77~86 (2012)
  13. N. Yanagihara, "Bounded subsets of some spaces of holomorphic functions", Sci. Papers College Gen. Ed. Univ. Tokyo, 23, pp.19~28 (1973)

관련 논문AI추천

A NOTE OF WEIGHTED COMPOSITION OPERATORS ON BLOCH-TYPE SPACESJizhen Zhou, Songxiao Li대한수학회 · 대한수학회보2015 · 제52권 제5호NEW CHARACTERIZATIONS OF COMPOSITION OPERATORS BETWEEN BLOCH TYPE SPACES IN THE UNIT BALLZe-Hua Zhou, Zhong-Shan Fang대한수학회 · 대한수학회보2015 · 제52권 제3호Norm of the composition operator from Bloch space to Bergman spaceKazuhiro Kasuga대한수학회 · 대한수학회논문집2014 · 제29권 제3호A WEIGHTED COMPOSITION OPERATOR ON THE LOGARITHMIC BLOCH SPACEShanli Ye대한수학회 · 대한수학회보2010 · 제47권 제3호PRODUCTS OF DIFFERENTIATION AND COMPOSITION OPERATORS FROM THE BLOCH SPACE AND WEIGHTED DIRICHLET SPACES TO MORREY TYPE SPACESQinghua Hu, Songxiao Li대한수학회 · 대한수학회지2017 · 제54권 제2호Generalized composition operators from generalized weighted Bergman spaces to Bloch type spacesXiangling Zhu대한수학회 · 대한수학회지2009 · 제46권 제6호

이 간행물의 다른 논문 (26건)

Equidimensional local rings with finite Cousin cohomology modulesAlireza Vahidipp. 1049-1053An alternative $q$-analogue of the Ruci\'nski-Voigt numbersMahid M. Mangontarum, Wardah M. Bent-Usman, Amerah M. Dibagulun, Charles B. Monteropp. 1055-1073On U-group RingsManal Ghanem, Emad Abu Osba, Hasan Al-Ezehpp. 1075-1082The Source of Semiprimeness of RingsNeset Aydin, C¸aˇgri Demir, Didem Karalarlioglu Camcipp. 1083-1096Jordan types of commuting nilpotent matricesSemra Ozturkpp. 1097-1102
원문 보기