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Dergiler / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 2

A reproducing kernel for a Hilbert space related to harmonic Bergman space on a domain outside compact set

Alem MEMIC
Sayfa
311–317
Yayın Tarihi
2014-05-16
DOI
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Özet

In this paper for 1\leq p

Abstract

In this paper for 1\leq p

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Bu Makaleye Atıf Yap

MEMIC, A. (2014). A reproducing kernel for a Hilbert space related to harmonic Bergman space on a domain outside compact set. Turkish Journal of Mathematics, Cilt: 38 - Sayı: 2, 311–317. https://ajindex.com/articles/185719

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Kaynakça (8)

  1. Aronszajn N. Theory of reproducing kernels. T Am Math Soc 1950; 68: 337–404
  2. Axler S, Bourdon P, Ramey W. Harmonic Function Theory. 2nd ed. Graduate Texts in Mathematics 137. New York, NY, USA: Springer-Verlag, 2001
  3. Carswell BJ, Weir RJ. Weighted reproducing kernels and the Bergman space. J Math Anal Appl 2013; 399: 617–624
  4. Duren PL, Schuster A. Bergman spaces. Providence, RI, USA: American Mathematical Society, 2004
  5. Hedenmalm H, Korenblum B, Zhu K. Theory of Bergman Spaces. New York, NY, USA: Springer-Verlag, 2000
  6. Kang H, Koo H. Estimates of the harmonic Bergman kernel on smooth domains. J Funct Anal 2001; 185: 220–239
  7. Miao J. Reproducing kernels for harmonic Bergman spaces of the unit ball. Monatsh Math 1998; 125: 25–35
  8. Watson NA. A decomposition theorem for solutions of parabolic equations. Ann Acad Sci Fenn Math 2001; 25: 151–160.