An estimate of the oscillation of harmonic reproducing kernels with applications

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Ureyen A. E.

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

• 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.