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Matematicheskie Zametki, 2009, Volume 86, Issue 3, Pages 421–428
DOI: https://doi.org/10.4213/mzm4434 (Mi mzm4434) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Function $G_\lambda^*$ as the Norm of a Calderón–Zygmund Operator

N. N. Osipov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/mzm4434
Abstract: We describe a new approach to one of the quadratic functions in the Littlewood–Paley theory, namely, to the function $G_\lambda^*$. It is shown that some of its properties can be obtained from the general theory of operators of Calderón–Zygmund type (which, apparently, has not been considered applicable in this context). There are applications to interpolation theory.
Keywords: Calderón–Zygmund operator, Poisson kernel, Hilbert space, Lebesgue measure, Brownian motion, Banach space, Hardy class $H^p$, Cauchy's inequality.
Received: 21.01.2008
English version:
Mathematical Notes, 2009, Volume 86, Issue 3, Pages 400–406
DOI: https://doi.org/10.1134/S0001434609090132
Bibliographic databases:
UDC: 517.444
Language: Russian
Citation: N. N. Osipov, “The Function $G_\lambda^*$ as the Norm of a Calderón–Zygmund Operator”, Mat. Zametki, 86:3 (2009), 421–428; Math. Notes, 86:3 (2009), 400–406
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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