Lp-boundedness for pseudodifferential operators with non smooth symbols and applications.

被引：0

作者：

Garello, G

Morando, A

机构：

[1] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy

[2] Univ Brescia, Dipartimento Matemat, I-25133 Brescia, Italy

来源：

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2005年 / 8B卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Starting from a general formulation of the characterization by dyadic crowns of Sobolev spaces, the authors give a result of L P continuity for pseudodifferential operators whose symbol a(x,) is non smooth with respect to x and whose derivatives with respect to have a decay of order rho with 0 < rho <= 1. The algebra property for some classes of weighted Sobolev spaces is proved and an application to multi - quasi - elliptic semilinear equations is given.

引用

页码：461 / 503

页数：43

共 31 条

[21]

Rodino L., 1996, MATH RESEARCHE, V92

[22]

SHUBIN M. A., 1987, PSEUDODIFFERENTIAL O

[23]

Stein E.M, 1970, PRINCETON MATH SERIE, V30

[24]

Taylor M., 1991, PSEUDODIFFERENTIAL O

[25]

Taylor Michael E., 1981, PSEUDODIFFERENTIAL O

[26] GENERAL FUNCTION SPACES .2. INEQUALITIES OF PLANCHEREL-POLYA-NIKOLSKIJ-TYPE, LP-SPACES OF ANALYTIC-FUNCTIONS, O-LESS-THAN-P-LESS-THAN-OR-EQUAL-INFINITY [J].

TRIEBEL, H .

JOURNAL OF APPROXIMATION THEORY, 1977, 19 (02) :154-175

[27] GENERAL FUNCTION SPACES .1. (DECOMPOSITION METHODS) [J].

TRIEBEL, H .

MATHEMATISCHE NACHRICHTEN, 1977, 79 :167-179

[28]

TRIEBEL H, 1979, MATH NACHR, V87, P129

[29]

Triebel H., 1977, ANAL MATH, V3, P299

[30]

Triebel H., 2010, Theory of Function Spaces

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