DOI QR코드

DOI QR Code

A CHARACTERIZATION OF BLOCH FUNCTIONS

  • Kwon Ern-Gun (Department of Mathematics Education Andong National University) ;
  • Shim Ok-Hee (Department of Mathematics Education Andong National University) ;
  • Bae Eun-Kyu (Department of Mathematics Education Andong National University)
  • 발행 : 2006.04.01

초록

On the unit disk of the complex plane, a characterization of Bloch function is expressed extending known result.

키워드

참고문헌

  1. S. Axler, The Bergman space, the Bloch space, and commutators of multiplication operators, Duke. Math. J. 53 (1986), 315-332 https://doi.org/10.1215/S0012-7094-86-05320-2
  2. J. B. Garnett, Bounded analytic functions, Academic Press, New York, 1981
  3. M. Nowak, Bloch space on the unit ball of C$^n$, Ann. Acad. Sci. Fenn. Math. 23 (1998), 461-473
  4. C. Ouyang, W. Yang, and R. Zhao, Characterizations of Bergman Spaces and Bloch Space in the Unit Ball of C$^n$, Trans. Amer. Math. Soc. 347 (1995), 4301-4313 https://doi.org/10.2307/2155039
  5. L. A. Rubel and R. Timoney, An essential property of the Bloch space, Proc. Amer. Math. Soc. 75 (1979), 45-49
  6. K. Stroethoff, Besov-type characterization for the Bloch spaces jour Bull. Austral. Math. Soc. 39 (1989), 405-420 https://doi.org/10.1017/S0004972700003324
  7. K. Stroethoff, The Bloch Space and Besov spaces of analytic functions, Bull. Austral. Math. Soc. 54 (1996), 211-219 https://doi.org/10.1017/S0004972700017676

피인용 문헌

  1. Some characterizations of the Besov space and the α-Bloch space vol.346, pp.1, 2008, https://doi.org/10.1016/j.jmaa.2008.05.044
  2. Lacunary Series in Weighted HyperholomorphicBp,q(G) Spaces vol.32, pp.1, 2010, https://doi.org/10.1080/01630563.2010.526409
  3. Lacunary series in quaternion Bp,qspaces vol.54, pp.7, 2009, https://doi.org/10.1080/17476930902999116