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Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1252

Title: LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators
Authors: Karapetyants, Alexey
Karasev, Denis
Nogin, Vladimir
Keywords: Fractional Calculus
Complex Powers
Acoustic Potentials
Lp → Lq Estimates
L-Characteristic
Symbol
Range
47B38
31B10
42B20
42B15
Issue Date: 2005
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Fractional Calculus and Applied Analysis, Vol. 8, No 2, (2005), 155p-172p
Abstract: We obtain the Lp → Lq - estimates for the fractional acoustic potentials in R^n, which are known to be negative powers of the Helmholtz operator, and some related operators. Some applications of these estimates are also given.
Description: Mathematics Subject Classification: 47B38, 31B10, 42B20, 42B15.
URI: http://hdl.handle.net/10525/1252
ISSN: 1311-0454
Appears in Collections:2005

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