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, AlexeyKarasev, DenisNogin, Vladimir Keywords: Fractional CalculusComplex PowersAcoustic PotentialsLp → Lq EstimatesL-CharacteristicSymbolRange47B3831B1042B2042B15 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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