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INTEGRAL REPRESENTATIONS AND CONTINUOUS PROJECTIONS IN CERTAIN SPACES OF HARMONIC FUNCTIONS

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Publication:3342861
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DOI10.1070/SM1984v049n01ABEH002708zbMath0549.31006OpenAlexW2065279162MaRDI QIDQ3342861

A. E. Djrbashian

Publication date: 1984

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1984v049n01abeh002708


zbMATH Keywords

spherical harmonicsweighted measurecontinuous projectors


Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)


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Estimates for harmonic reproducing kernel and Bergman type operators on mixed norm and Besov spaces in the real ball




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