대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제18권2호
  • /
  • Pages.243-249
  • /
  • 2003
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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THE RADIAL DERIVATIVES ON WEIGHTED BERGMAN SPACES

  • Kang, Si-Ho (Department of Mathematics Sookmyung Women's University) ;
  • Kim, Ja-Young (Department of Mathematics Sookmyung Women's University)
  • 발행 : 2003.04.01
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초록

We consider weighted Bergman spaces and radial derivatives on the spaces. We also prove that for each element f in B$\^$p, r/ there is a unique f in B$\^$p, r/ such that f is the radial derivative of f and for each f$\in$B$\^$r/(i), f is the radial derivative of some element of B$\^$r/(i) if and only if, lim f(tz)= 0 for all z$\in$H.

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참고문헌

  1. Harmonic Function Theory S.Axler;P.Bourdon;W.Ramey
  2. Pitman Research Notes in Math. v.171 Beryman Spaces and Their Operators, Surveys of Some Recent Results in Operator Theory Vol. 1. S. Axler
  3. Harmonic Bergman Fuctions as Radical Derivatives of Bergman Functions, Preprint B.R.Choe;H.Koo;H.Yi
  4. Bounded Analytic Functions J.B.Garnett
  5. Bull. Korean Math. Soc. v.37 no.3 Toeplitz operators on weighted alalytic Beryman spaces of the half-plane S.H.Kang;J.Y.Kim
  6. Operator Theory in Function Spaces K.Zhu

피인용 문헌

  1. Composition operators from the weighted Bergman space to the nth weighted-type space on the upper half-plane vol.217, pp.7, 2010, https://doi.org/10.1016/j.amc.2010.09.001