SOME ESTIMATES OF LITTLEWOOD-PALEY TYPE OPERATORS IN ARITHMETIC
نویسندگان
چکیده
منابع مشابه
On Pointwise Estimates for the Littlewood-paley Operators
In a recent paper we proved pointwise estimates relating some classical maximal and singular integral operators. Here we show that inequalities essentially of the same type hold for the Littlewood-Paley operators.
متن کاملOn Some Weighted Norm Inequalities for Littlewood–paley Operators
It is shown that the Lw,1< p<∞, operator norms of Littlewood–Paley operators are bounded by a multiple of ‖w‖ Ap , where γp = max{1, p/2} 1 p−1 . This improves previously known bounds for all p > 2. As a corollary, a new estimate in terms of ‖w‖Ap is obtained for the class of Calderón–Zygmund singular integrals commuting with dilations.
متن کاملLittlewood-paley Theorem for Schrödinger Operators
Let H be a Schrödinger operator on R. Under a polynomial decay condition for the kernel of its spectral operator, we show that the Besov spaces and Triebel-Lizorkin spaces associated with H are well defined. We further give a Littlewood-Paley characterization of Lp spaces as well as Sobolev spaces in terms of dyadic functions of H . This generalizes and strengthens the previous result when the ...
متن کاملSingular Integrals and Littlewood–Paley Operators
We prove mixed Ap-Ar inequalities for several basic singular integrals, Littlewood–Paley operators, and the vector-valued maximal function. Our key point is that r can be taken arbitrarily big. Hence, such inequalities are close in spirit to those obtained recently in the works by T. Hytönen and C. Pérez, and M. Lacey. On one hand, the “Ap-A∞” constant in these works involves two independent su...
متن کاملHardy Space Estimates for Littlewood-paley-stein Square Functions and Calderón-zygmund Operators
In this work, we give new sufficient conditions for Littlewood-Paley-Stein square function and necessary and sufficient conditions for a Calderón-Zygmund operator to be bounded on Hardy spaces H p with indices smaller than 1. New Carleson measure type conditions are defined for Littlewood-Paley-Stein operators, and the authors show that they are sufficient for the associated square function to ...
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ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2007
ISSN: 1225-1763
DOI: 10.4134/ckms.2007.22.4.493