Title of article
A remark to the boundedness of parametric Marcinkiewicz integral
Author/Authors
Ding، نويسنده , , Yong and Xue، نويسنده , , Qingying and Yabuta، نويسنده , , Kôzô، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
7
From page
691
To page
697
Abstract
Recently, A. Al-Salman (2011) [1] gave a characterization of the L 2 boundedness of the parametric Marcinkiewicz integral μ Ω ρ when ρ is a positive real number. In this note, using a quite elementary method, we give a sufficient and necessary condition for the L 2 ( R n ) boundedness of μ Ω ρ when ρ is a complex number.
Keywords
F 1 ( S n ? 1 ) spaces , Hardy spaces H 1 ( S n ? 1 ) , Parametric Marcinkiewicz integral
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562440
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