MULTIPLIERS AND IMAGINARY POWERS OF THE SCHRODINGER OPERATORS CHARACTERIZING UMD BANACH SPACES

被引：4

作者：

Betancor, Jorge J. ^{[1
]}

Crescimbeni, Raquel ^{[2
]}

Farina, Juan C. ^{[1
]}

Rodriguez-Mesa, Lourdes ^{[1
]}

机构：

[1] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Sta Cruz De Ten, Spain

[2] Univ Nacl Comahue, Dept Matemat, RA-8300 Neuquen, Argentina

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2013年 / 38卷 / 01期

关键词：

UMD spaces; Schrodinger operators; multipliers; imaginary powers; MARTINGALE DIFFERENCE-SEQUENCES; INTEGRALS;

D O I：

10.5186/aasfm.2013.3813

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish L-p-boundedness properties for Laplace type transform spectral multipliers associated with the Schrodinger operator L = -Delta + V. We obtain for this type of multipliers pointwise representation as principal value integral operators. We also characterize the UMD Banach spaces in terms of the L-p-boundedness of the imaginary powers,L-i gamma, gamma is an element of R, of L.

引用

页码：209 / 227

页数：19

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