Titchmarsh Theorem by Modulus of Continuity for the Deformed Hankel-Lipschitz Classes

被引:0
|
作者
Kumar, Vishvesh [1 ]
Restrepo, Joel E. [1 ]
机构
[1] Univ Ghent, Dept Math Anal Log & Discrete Math, Ghent, Belgium
来源
关键词
FOURIER-TRANSFORMS; GROWTH-PROPERTIES; SMOOTHNESS; OPERATORS;
D O I
10.1007/978-3-031-41665-1_9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give an analogue of the Titchmarsh theorem by modulus of continuity for the deformed Hankel-Lipschitz classes involving a deformed Hankel translation operator and equivalently described by the growth of the norm of the deformed Hankel transform for functions in upper.L-p( R, vertical bar x vertical bar 2(alpha-1)dx) (alpha > 1/4, 1 <= p <= 2).
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页码:79 / 85
页数:7
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