Results 1 to 10 of about 1,699,102 (276)
Maximal Functions Associated to Filtrations
Journal of Functional Analysis, 2001 Let \((X,\mu)\) and \((Y,\nu)\) be arbitrary measure spaces. To any sequence of measurable subsets \(\{Y_n \}\) of \(Y\) and any bounded linear operator \(T: L^p(Y) \to L^q(X)\) one can associate the maximal operator \(T^*f(x)=\sup_n |T(f \cdot \chi_{Y_n})(x)|\), where \(\chi_{Y_n}\) designates the characteristic function of \(Y_n\). It is proved that \
Christ, Michael, Kiselev, Alexander
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Journal of Function Spaces, 2014 The aim of this paper is to prove the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces and multilinear maximal operator on multiple weighted Morrey spaces. In particular, the result includes the Komori-Shirai theorem and the
Takeshi Iida
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Bent Functions of Maximal Degree
IEEE Transactions on Information Theory, 2012 In this paper, a technique for constructing p-ary bent functions from plateaued functions is presented. This generalizes earlier techniques of constructing bent from near-bent functions. The Fourier spectrum of quadratic monomials is analyzed, and examples of quadratic functions with highest possible absolute values in their Fourier spectrum are given.
Çeşmelioğlu, Ayça, Meidl, Wilfried
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Hölder Quasicontinuity in Variable Exponent Sobolev Spaces
Journal of Inequalities and Applications, 2007 We show that a function in the variable exponent Sobolev spaces coincides with a Hölder continuous Sobolev function outside a small exceptional set.
Katja Tuhkanen +2 more
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Bloom-type two-weight inequalities for commutators of maximal functions
Analysis and Geometry in Metric SpacesWe study Bloom-type two-weight inequalities for commutators of the Hardy-Littlewood maximal function and sharp maximal function. Some necessary and sufficient conditions are given to characterize the two-weight inequalities for such commutators.
Zhang Pu, Fan Di
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Matrix weights and a maximal function with exponent 3/2
Advanced Nonlinear StudiesWe build an example of a simple sparse operator for which its norm with scalar A 2 weight has linear estimate in [w]A2 ${\left[w\right]}_{{A}_{2}}$ , but whose norm in matrix setting grows at least as [W]A23/2 ${\left[W\right]}_{{\mathbf{A}}_{2}}^{3/2}$
Treil Sergei, Volberg Alexander
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Vector-Valued Inequalities in the Morrey Type Spaces
International Journal of Mathematics and Mathematical Sciences, 2014 We will obtain the strong type and weak type estimates for vector-valued analogues of classical Hardy-Littlewood maximal function, weighted maximal function, and singular integral operators in the weighted Morrey spaces Lp,κ(w) when 1 ...
Hua Wang
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Lacunary Discrete Spherical Maximal Functions
, 2018 We prove new $\ell ^{p} (\mathbb Z ^{d})$ bounds for discrete spherical averages in dimensions $ d \geq 5$. We focus on the case of lacunary radii, first for general lacunary radii, and then for certain kinds of highly composite choices of radii.
Kesler, Robert +2 more
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Nonself-Adjoint Second-Order Difference Operators in Limit-Circle Cases
Abstract and Applied Analysis, 2012 We consider the maximal dissipative second-order difference (or discrete Sturm-Liouville) operators acting in the Hilbert space ℓ2𝑤(ℤ) (ℤ:={0,±1,±2,…}), that is, the extensions of a minimal symmetric operator with defect index (2,2) (in the Weyl ...
Bilender P. Allahverdiev
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A matrix weighted bilinear Carleson Lemma and Maximal Function
, 2018 We prove a bilinear Carleson embedding theorem with matrix weight and scalar measure. In the scalar case, this becomes exactly the well known weighted bilinear Carleson embedding theorem. Although only allowing scalar Carleson measures, it is to date the
Petermichl, Stefanie +2 more
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