FUNCTIONAL SPACES ASSOCIATED WITH THE WEYL-HORMANDER CALCULUS

被引：110

作者：

BONY, JM ^{[1
]}

CHEMIN, JY ^{[1
]}

机构：

[1] ECOLE POLYTECH,CTR MATH,F-91405 PALAISEAU,FRANCE

来源：

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 1994年 / 122卷 / 01期

关键词：

D O I：

10.24033/bsmf.2223

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a Hormander metric g on the phase space, we define for each weight function M a Hilbert space H(M, g) whose properties generalize those of the classical Sobolev spaces. We prove that invertible pseudo-differential operators of weight M exist for each M and we discuss relations between invertibility in the operator theorical sense and invertibility in the algebra of the pseudo-differential operators.

引用

页码：77 / 118

页数：42

共 10 条

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[10] [No title captured]

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