Lpα(Rn+1+)-boundedness of pseudo-differential operators involving the Weinstein transform-Reference-Cited by-同舟云学术

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Lpα(Rn+1+)-boundedness of pseudo-differential operators involving the Weinstein transform

Published:2024 Issue:3 Volume:38 Page:957-978
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Sartaj Mohd¹,Upadhyay S.K.¹

Affiliation:

1. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, India

Abstract

In this paper, an Lp?(Rn+1+)-boundedness of pseudo-differential operators associated with class of symbol S0 are proven by utilizing the theory of the Weinstein transform. Using the aforesaid theory various properties and boundedness results on Lp?(Rn+1+)-type Sobolev spaces are given.

Publisher

National Library of Serbia

Reference22 articles.

1. V. P. Calderón and R . Vaillancourt, A Class of Bounded Pseudo-Differential Operators, Proc. Nat. Acad. Sci. USA. 69 (l972), 1185 - 1187.

2. C. Chettaoui, K. Trimèche, Bochner-hecke theorems for the Weinstein transform and application, Fractional Calculus and Applied Analysis. 13 (2010), 261-280.

3. C. Fefferman, Lp bounds for pseudo-differential operators, Isr. J. Math. 14 (1973), 413-417.

4. L. H¨ormander, Linear Partial Differential Operators, Springer, Berlin, 1968.

5. L. H¨ormander, Continuity of pseudo-differential operators of type 1; 1, Comm. Partial Differential Equations. 14 (1989), 231-243.

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