Integral transforms, connected with complex powers of second order hypoelliptic operators with constant coefficients

被引：0

作者：

Abramyan, AV ^{[1
]}

Nogin, VA ^{[1
]}

机构：

[1] Rostov Don State Univ, Dept Math & Mech, Rostov Na Donu 344711, Russia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2001年 / 11卷 / 04期

关键词：

integral transforms; potential-type operators; approximative inverse operators;

D O I：

10.1080/10652460108819321

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some integral transforms, connected with complex powers of second order hypoelliptic operators with constant coefficients, are investigated within the framework of spaces L-p(R-n). We construct the inversion of these transforms and describe their ranges in terms of approximative inverse operators.

引用

页码：303 / 326

页数：24

共 20 条

[1] ABRAMYAN AV, 1995, DOKL AKAD NAUK+, V341, P295
[2] ABRAMYAN AV, 1994, INTEGRAL TRANSFORMS, V2, P1
[3] ABRAMYAN AV, 1996, COMPLEX POWERS 2 ORD
[4] ABRAMYAN AV, 1997, DIFF URAVN, V33, P1134
[5] [Anonymous], 1983, INTEGRALS SERIES SPE
[6] Kilbas AA, 1993, Fractional Integral and Derivatives: Theory and Applications
[7] Lizorkin P. I., 1963, MAT SBORNIK, V60, P325
[8] Lizorkin PI., 1969, T MATEMATICHESKOGO I, V105, P89
[9] Method of approximating inverse operators and its applications to the inversion of potential-type integral transforms
Nogin, VA
Samko, SG
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 1999, 8 (1-2) : 89 - 104
[10] NOGIN VA, 1999, FRACTIONAL CALCULUS, V2, P205

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