Title of article
On the boundedness of parametric Marcinkiewicz integral operator
Author/Authors
Al-Salman، نويسنده , , Ahmad، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2011
Pages
8
From page
745
To page
752
Abstract
In this paper, we derive a multiplier formula for Hörmanderʹs parametric Marcinkiewicz integral operator. As a consequence, we prove the optimality of the kernel size condition L ( log L ) 1 / 2 ( S n − 1 ) as well as the optimality of the Block size condition.
Keywords
Marcinkiewicz integrals , Parametric Marcinkiewicz integrals , singular integrals , Block spaces
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561556
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