Sobolev spaces associated to the harmonic oscillator

被引：73

作者：

Bongioanni, B. ^{[1
]}

Torrea, J. L.

机构：

[1] Univ Nacl Litoral, Fac Ingn Qim, Dept Matemat, RA-3000 Santa Fe, Argentina

[2] Inst Matemat Aplicada Litoral, RA-3000 Santa Fe, Argentina

[3] Univ Autonoma Madrid, Fac Ciencias, Dept Matemat, E-28049 Madrid, Spain

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2006年 / 116卷 / 03期

关键词：

Hermite operator; potential spaces; Riesz transforms;

D O I：

10.1007/BF02829750

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define the Hermite-Sobolev spaces naturally associated to the harmonic oscillator H = -Delta + \x\(2). Structural properties, relations with the classical Sobolev spaces, boundedness of operators and almost everywhere convergence of solutions of the Schrodinger equation are also considered.

引用

页码：337 / 360

页数：24

共 14 条

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