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.
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页码：209 / 227
页数：19
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