A GENERALIZATION OF CARLESON INEQUALITY IN THE CONTEXT OF SPACES OF HOMOGENEOUS TYPE

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Published: Feb 15, 2012
DOI: https://doi.org/10.14403/jcms.2012.25.1.35
Keywords:
space of homogeneous type, tent, Hardy-Littlewood maximal operator, Carleson inequality, Muckenhoupt's class A1
Mathematics Subject Classification (2020):
Primary 42B25

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Choon-Serk Suh
School of Information and Communications Engineering, Dongyang University

Abstract





In this paper we first introduce a Carleson inequality and study the generalized form of Carleson inequality in the context of spaces of homogeneous type. The previous inequality is known to play important roles in harmonic analysis.





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Article Details

Issue
Vol. 25 No. 1 (2012)
Section
Articles