Boundedness of pseudo-differential operator associated with fractional Hankel transform

✍ Scribed by Prasad, Akhilesh; Singh, V. K.

• Book ID: 121584548
• Publisher: SP Versita
• Year: 2014
• Tongue: English
• Weight: 223 KB
• Volume: 17
• Category: Article
• ISSN: 1311-0454
• DOI: 10.2478/s13540-014-0160-x

✦ Synopsis

A pseudo-differential operator (p.d.o.) associated with the fractional Hankel transform involving the symbol a(x, ξ) is defined. An integral representation of p.d.o. and boundedness result of the composition of operators Δ r μ and A μ,a are obtained. A generalized integral operator A α μ,a corresponding to p.d.o. is also defined and the properties of the product of two generalized integral operators corresponding to p.d.o. are studied.