Compact Commutators of Riesz Transforms Associated to Schrodinger Operator
نویسندگان
چکیده
منابع مشابه
L Boundedness of Commutators of Riesz Transforms Associated to Schrödinger Operator
Abstract: In this paper we consider Lp boundedness of some commutators of Riesz transforms associated to Schrödinger operator P = −∆+ V (x) on Rn, n ≥ 3. We assume that V (x) is non-zero, nonnegative, and belongs to Bq for some q ≥ n/2. Let T1 = (−∆ + V ) −1V, T2 = (−∆ + V )−1/2V 1/2 and T3 = (−∆+ V ) −1/2∇. We obtain that [b, Tj ] (j = 1, 2, 3) are bounded operators on Lp(Rn) when p ranges in ...
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ژورنال
عنوان ژورنال: Pure and Applied Mathematics Quarterly
سال: 2012
ISSN: 1558-8599,1558-8602
DOI: 10.4310/pamq.2012.v8.n3.a7