Hardy and Cowling-Price theorems for a~Cherednik type operator on the real line
نویسندگان
چکیده
منابع مشابه
Hardy-type Inequalities on the Real Line
We prove a certain type of inequalities concerning the integral of the Fourier transform of a function integrable on the real line.
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Dunkl Translation and Uncentered Maximal Operator on the Real Line
On the real line, the Dunkl operators are differential-difference operators introduced in 1989 by Dunkl [1] and are denoted by Λα, where α is a real parameter > −1/2. These operators are associated with the reflection group Z2 on R. The Dunkl kernel Eα is used to define the Dunkl transform α which was introduced by Dunkl in [2]. Rösler in [3] shows that the Dunkl kernels verify a product formul...
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ژورنال
عنوان ژورنال: Commentationes Mathematicae Universitatis Carolinae
سال: 2015
ISSN: 0010-2628,1213-7243
DOI: 10.14712/1213-7243.015.102