Martingale Morrey-Campanato Spaces and Fractional Integrals
نویسندگان
چکیده
منابع مشابه
Uperieure S Ormale N Ecole Morrey-campanato Estimates for Helmholtz Equation Morrey-campanato Estimates for Helmholtz Equation Morrey-campanato Estimates for Helmholtz Equation
We derive uniform weighted L 2 and Morrey-Campanato type estimates for Helmholtz Equations in a medium with a variable index which is not necessarily constant at innnity. Our technique is based on a multiplier method with appropriate weights which generalize those of Morawetz for the wave equation. We also extend our method to the wave equation.
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Let X be a space of homogeneous type in the sense of Coifman and Weiss and D a collection of balls in X . The authors introduce the localized atomic Hardy space H q D (X ) with p ∈ (0, 1] and q ∈ [1,∞] ∩ (p,∞], the localized Morrey-Campanato space E p D (X ) and the localized Morrey-Campanato-BLO space Ẽ p D (X ) with α ∈ R and p ∈ (0,∞) and establish their basic properties including H q D (X )...
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The purpose of this paper is to study singular integrals whose kernels k(x; ξ) are variable, i.e. they depend on some parameter x ∈ R and in ξ ∈ R \ {0} satisfy mixed homogeneity condition of the form k(x;μξ1, . . . , μ ξn) = μ − ∑ n i=1 ik(x; ξ) with positive real numbers αi ≥ 1 and μ > 0. The continuity of these operators in L(R) is well studied by Fabes and Rivière. Our goal is to extend the...
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ژورنال
عنوان ژورنال: Journal of Function Spaces and Applications
سال: 2012
ISSN: 0972-6802,1758-4965
DOI: 10.1155/2012/673929