Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2003.04.01
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Abstract

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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References

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  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
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  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

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  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