排序方式: 共有38条查询结果,搜索用时 15 毫秒
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Roman Drnovšek 《Journal of Mathematical Analysis and Applications》2011,373(2):580-584
Let A and B be positive operators on a Banach lattice E such that the commutator C=AB−BA is also positive. The paper continues the investigation of the spectral properties of C initiated in J. Bra?i? et al. (in press) [3]. If the sum A+B is a Riesz operator and the commutator C is a power compact operator, then C is a quasi-nilpotent operator having a triangularizing chain of closed ideals of E. If we assume that the operator A is compact and the commutator AC−CA is positive, the operator C is quasi-nilpotent as well. We also show that the commutator C is not invertible provided the resolvent set of C is connected. 相似文献
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Maria Alessandra Ragusa 《Journal of Global Optimization》2008,40(1-3):361-368
In this note we prove a sufficient condition for commutators of fractional integral operators to belong to Vanishing Morrey
spaces VL
p,λ. In doing this we use an extension on Morrey spaces of an inequality by Fefferman and Stein concerning the sharp maximal
function and the fractional maximal function and related Morrey inequalities.
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本文考虑交换子[b,T]在 Triebel-Lizorkin 空间上的有界性,其中 b∈BMO(R~n),T 是卷积型奇异积分算子,其核为Ω∈L log~ L(S~(n-1)),给出了该交换子在 F_p~(s,p)(R~n)(s>0,1<p,q<∞) 上有界的一个等价条件. 相似文献
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Xi Chen 《Journal of Mathematical Analysis and Applications》2010,362(2):355-635
In this paper, a class of multiple fractional type weights is defined as
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Let T be a bounded multilinear operator on some product of Lq(Rn) spaces. Assume that T has a non-smooth associated kernel which satisfies certain weak regularity conditions but not regular enough to fall under the scope of the standard multilinear Calderón-Zygmund theory. The main aim of this paper is to establish a sufficient condition on the kernel of T so that the commutator of a vector BMO function and T is bounded on certain product Lp(Rn) spaces. We obtain boundedness of the commutator of and T by first proving certain pointwise estimates on the Fefferman-Stein sharp maximal operator. An important example of multilinear operators which satisfy our kernel conditions is the maximal mth order Calderón commutator. 相似文献
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The authors establish the boundedness of the variation operators associated with the heat semigroup, Riesz transforms and commutators generated by the Riesz transforms and BMO-type functions in the Schrödinger setting on the Morrey spaces. 相似文献
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In Peller (1980) [27], Peller (1985) [28], Aleksandrov and Peller (2009) [2], Aleksandrov and Peller (2010) [3], and Aleksandrov and Peller (2010) [4] sharp estimates for f(A)−f(B) were obtained for self-adjoint operators A and B and for various classes of functions f on the real line R. In this paper we extend those results to the case of functions of normal operators. We show that if a function f belongs to the Hölder class Λα(R2), 0<α<1, of functions of two variables, and N1 and N2 are normal operators, then ‖f(N1)−f(N2)‖?const‖fΛα‖‖N1−N2α‖. We obtain a more general result for functions in the space for an arbitrary modulus of continuity ω. We prove that if f belongs to the Besov class , then it is operator Lipschitz, i.e., . We also study properties of f(N1)−f(N2) in the case when f∈Λα(R2) and N1−N2 belongs to the Schatten–von Neumann class Sp. 相似文献
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利用Maxcinkiewicz积分算子μ,Lusin面积积分μs和Littlewood-Paley g_λ~*函数以及相应的交换子在变指标Lebesgue空间上的有界性,得到了它们在变指标Morrey空间上的有界性结果. 相似文献