Estimates of pseudo-differential operators associated with fractional Hankel transform on the space of type S

被引：4
作者：
Mahato, Kanailal [1 ]
Pasawan, Durgesh [1 ]
机构：
[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi, Uttar Pradesh, India
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2021年 / 32卷 / 03期
关键词：
Hankel transform; fractional Hankel transform; Gelfand-Shilov space; pseudo-differential operator; ultradifferentiable function space; SHILOV SPACES; ULTRADISTRIBUTIONS;
D O I：
10.1080/10652469.2020.1815197
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we present some boundedness results of fractional Hankel transform on Gelfand-Shilov spaces of type S. Certain inequalities are obtained for pseudo-differential operators involving the fractional Hankel transform on Gelfand-Shilov spaces of type S. This article made further discussion on the continuity properties of fractional Hankel transform and pseudo-differential operator on some ultradifferentiable function spaces.
引用
收藏
页码：224 / 239
页数：16
相关论文
共 26 条
[1]  
[Anonymous], 2018, Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems
[2]  
Cappello M, 2007, OPER THEORY ADV APPL, V172, P297
[3]  
Cappiello M., 2003, Rend. Sem. Mat. Univ. Politec. Torino, V61, P411
[4]   GELFAND-SHILOV SPACES FOR THE HANKEL TRANSFORM [J].
DURAN, AJ .
INDAGATIONES MATHEMATICAE-NEW SERIES, 1992, 3 (02) :137-151
[5]  
FRIEDMAN A., 1963, GEN FUNCTIONS PARTIA
[6]  
Hormander L, 1983, ANAL LINEAR PARTIAL, VI
[7]  
Jaksic S, 2017, RACSAM REV R ACAD A, V111, P613, DOI 10.1007/s13398-016-0313-3
[8]  
Jaksic S, 2017, J PSEUDO-DIFFER OPER, V8, P275, DOI 10.1007/s11868-016-0171-y
[9]   EXTENSION THEOREM OF WHITNEY TYPE FOR S(R-+(d)) BY USE OF THE KERNEL THEOREM [J].
Jaksic, Smiljana ;
Prangoski, Bojan .
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2016, 99 (113) :59-65
[10]   FRACTIONAL-POWERS OF HANKEL-TRANSFORMS IN THE ZEMANIAN SPACES [J].
KERR, FH .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 166 (01) :65-83
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