Results 31 to 40 of about 204,914 (324)
Weighted inequalities for convolutions [PDF]
Proceedings of the American Mathematical Society, 1995 Consider the class of convolution operators \(T\) defined on the weighted Lebesgue space \(L^p(X, \nu)\). Here \(X\) denotes either \(\mathbb{R}^+= (0, \infty)\) or \(\mathbb{R}^n= (- \infty, \infty)^n\), \(\nu\) is a positive Borel measure on \(X\), the space \(L^p(X, \nu)\) consists of all \(\nu\)-measurable functions \(f\) on \(X\) with finite norm \
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Non ultracontractive heat kernel bounds by Lyapunov conditions [PDF]
, 2013 Nash and Sobolev inequalities are known to be equivalent to ultracontractive properties of heat-like Markov semigroups, hence to uniform on-diagonal bounds on their kernel densities.
Bolley, François +2 more
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Entropy bump conditions for fractional maximal and integral operators
Concrete Operators, 2016 We investigate weighted inequalities for fractional maximal operators and fractional integral operators.We work within the innovative framework of “entropy bounds” introduced by Treil–Volberg. Using techniques developed by Lacey and the second author, we
Rahm Robert, Spencer Scott
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Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces [PDF]
, 2019 We extend the theory of weighted norm inequalities on variable Lebesgue spaces to the case of bilinear operators. We introduce a bilinear version of the variable $\A_\pp$ condition, and show that it is necessary and sufficient for the bilinear maximal ...
Cruz-Uribe, David +1 more
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A weighted polynomial inequality [PDF]
Proceedings of the American Mathematical Society, 1984 In the theory of orthogonal polynomials for weights with noncompact support, much use is made of inequalities relating weighted integrals of polynomials over infinite and finite ranges. Using a short new method of proof, we show such inequalities hold for very general weights in L p {L_p} and ...
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Weighted norm inequalities and indices
Journal of Function Spaces and Applications, 2006 We extend and simplify several classical results on weighted norm inequalities for classical operators acting on rearrangement invariant spaces using the theory of indices.
Joaquim Martín, Mario Milman
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Weighted interpolation inequalities: a perturbation approach [PDF]
, 2016 We study optimal functions in a family of Caffarelli-Kohn-Nirenberg inequalities with a power-law weight, in a regime for which standard symmetrization techniques fail.
Dolbeault, Jean +2 more
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Weighted modular inequalities for monotone functions
Journal of Inequalities and Applications, 1997 Weight characterizations of weighted modular inequalities for operators on the cone of monotone functions are given in terms of composition operators on arbitrary non-negative functions with changes in weights. The results extend to modular inequalities,
Heinig HP, Kufner A, Drábek P
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Journal of Function Spaces and Applications, 2013 This note concerns multiple weighted inequalities for vector-valued multilinear singular integral operator with nonsmooth kernel and its corresponding commutators containing multilinear commutator and iterated commutator generated by the vector-valued ...
Dongxiang Chen, Dan Zou, Suzhen Mao
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Perturbed Weighted Hardy Inequalities
Journal of Mathematical Analysis and Applications, 1999 The aim of the paper is to prove the inequality \[ \begin{aligned} &\Biggl(\int^T_0 \Biggl(\int^A_0 x^{-1-\beta-\varepsilon \gamma} \int^{x^{\beta}}_0 \int^{\beta^{\gamma}}_0 y^{\varepsilon} \rho (y, t + a) dy da dz \Biggr)^p dt\Biggr)^{1/p}\\ &\leq p \;(\gamma\varepsilon)^{-1} \Biggl(\int^{T+A^{\beta}}_0 \Biggl(\int^{A^{\gamma}}_0 \rho(y,\tau) dy ...
Weidemaier, Peter, Sinnamon, Gord
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