An estimate of the oscillation of harmonic reproducing kernels with applications


Ureyen A. E.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.434, no.1, pp.538-553, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 434 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.1016/j.jmaa.2015.09.030
  • Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.538-553
  • Keywords: Harmonic Besov space, Reproducing kernel, Oscillation, UNIT BALL, BERGMAN SPACES, BESOV-SPACES, BLOCH SPACE, TOEPLITZ-OPERATORS
  • Anadolu University Affiliated: Yes

Abstract

We estimate the oscillation of harmonic reproducing kernels. As an application of this estimation we obtain a double integral characterization of harmonic Besov spaces. (C) 2015 Elsevier Inc. All rights reserved.