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Matematicheskie Zametki, 2013, Volume 94, Issue 4, Pages 582–590
DOI: https://doi.org/10.4213/mzm9344 (Mi mzm9344) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Characterization of Carleson Measures by the Hausdorff–Young Property

S. Yu. Sadov
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DOI: https://doi.org/10.4213/mzm9344
Abstract: It is shown that the Laplace transform of an $L^p$ ($1<p\le 2$) function defined on the positive semiaxis satisfies the Hausdorff–Young type inequality with a positive weight in the right complex half-plane if and only if the weight is a Carleson measure. In addition, Carleson's weighted $L^p$ inequality for the harmonic extension is given with a numeric constant.
Keywords: Hausdorff–Young inequality, Carleson measure, Laplace transform, Fourier transform, Hardy class, Radon–Nikodym derivative, Poisson integral.
Received: 13.02.2012
English version:
Mathematical Notes, 2013, Volume 94, Issue 4, Pages 551–558
DOI: https://doi.org/10.1134/S0001434613090253
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: S. Yu. Sadov, “Characterization of Carleson Measures by the Hausdorff–Young Property”, Mat. Zametki, 94:4 (2013), 582–590; Math. Notes, 94:4 (2013), 551–558
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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