# LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators

Karapetyants, Alexey; Karasev, Denis; Nogin, Vladimir

Fractional Calculus and Applied Analysis (2005)

- Volume: 8, Issue: 2, page 155-172
- ISSN: 1311-0454

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topKarapetyants, Alexey, Karasev, Denis, and Nogin, Vladimir. "LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators." Fractional Calculus and Applied Analysis 8.2 (2005): 155-172. <http://eudml.org/doc/11285>.

@article{Karapetyants2005,

abstract = {Mathematics Subject Classification: 47B38, 31B10, 42B20, 42B15.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.* This paper has been supported by Russian Fond of Fundamental Investigations under Grant No. 40–01–008632 a.},

author = {Karapetyants, Alexey, Karasev, Denis, Nogin, Vladimir},

journal = {Fractional Calculus and Applied Analysis},

keywords = {47B38; 31B10; 42B20; 42B15},

language = {eng},

number = {2},

pages = {155-172},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators},

url = {http://eudml.org/doc/11285},

volume = {8},

year = {2005},

}

TY - JOUR

AU - Karapetyants, Alexey

AU - Karasev, Denis

AU - Nogin, Vladimir

TI - LP → LQ - Estimates for the Fractional Acoustic Potentials and some Related Operators

JO - Fractional Calculus and Applied Analysis

PY - 2005

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 8

IS - 2

SP - 155

EP - 172

AB - Mathematics Subject Classification: 47B38, 31B10, 42B20, 42B15.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.* This paper has been supported by Russian Fond of Fundamental Investigations under Grant No. 40–01–008632 a.

LA - eng

KW - 47B38; 31B10; 42B20; 42B15

UR - http://eudml.org/doc/11285

ER -

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