共查询到20条相似文献,搜索用时 15 毫秒
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Naohito Tomita 《Journal of Functional Analysis》2010,259(8):2028-2044
In this paper, we prove a Hörmander type multiplier theorem for multilinear operators. As a corollary, we can weaken the regularity assumption for multilinear Fourier multipliers to assure the boundedness. 相似文献
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Woocheol Choi 《Mathematische Nachrichten》2015,288(10):1098-1121
In this paper we obtain a refined bound for maximal functions of the multiplier operators on stratified groups and maximal functions of the multi‐parameter multipliers on product spaces of stratified groups. As an application we find a refined bound for maximal functions of joint spectral multipliers on Heisenberg group. 相似文献
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P. ?ugiewicz 《Journal of Functional Analysis》2007,247(2):438-476
We prove log-Sobolev inequalities for Hörmander type generators in infinite dimensions and prove the strong exponential decay to equilibrium for corresponding semigroups. 相似文献
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We prove endpoint bounds for derivatives of fractional maximal functions with either smooth convolution kernel or lacunary set of radii in dimensions . We also show that the spherical fractional maximal function maps into a first order Sobolev space in dimensions . 相似文献
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Multiparameter maximal estimates are considered for operators of Schrödinger type. Sharp and almost sharp results, that extend work by Rogers and Villarroya, are obtained. We provide new estimates via the integrability of the kernel which naturally appears with a TT? argument and discuss the behavior at the endpoints. We treat in particular the case of global integrability of the maximal operator on finite time for solutions to the linear Schrödinger equation and make some comments on an open problem. 相似文献
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Dual feasible functions have been used to compute bounds and valid inequalities for combinatorial optimization problems. Here, we analyze the properties of some of the best functions proposed so far. Additionally, we provide new results for composed functions. These results will allow improving the computation of bounds and valid inequalities. 相似文献
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BU Shangquan Department of Mathematical Sciences Tsinghua University Beijing China 《中国科学A辑(英文版)》2006,49(4):574-576
We give a simpler proof of a result on operator-valued Fourier multipliers on Lp([0,2π]d;X) using an induction argument based on a known result when d=1. 相似文献
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Commutators for the maximal and sharp functions 总被引:1,自引:0,他引:1
Jesú s Bastero Mario Milman Francisco J. Ruiz 《Proceedings of the American Mathematical Society》2000,128(11):3329-3334
The class of functions for which the commutator with the Hardy-Littlewood maximal function or the maximal sharp function are bounded on are characterized and proved to be the same.
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We calculate the Hörmander index in the finite-dimensional case. Then we use the result to give some iteration inequalities, and prove almost existence of mean indices for given complete autonomous Hamiltonian system on compact symplectic manifold with symplectic trivial tangent bundle and given autonomous Hamiltonian system on regular compact energy hypersurface of symplectic manifold with symplectic trivial tangent bundle. 相似文献
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Joaquín Motos María Jesús Planells 《Journal of Mathematical Analysis and Applications》2008,348(1):395-403
It is shown that is isomorphic to (Ω open set in Rn, 1?p<∞, k Beurling-Björck weight) extending a Hörmander's result (the proof we give is valid in the vector-valued case, too). As a consequence, and using Vogt's representation theorems and weighted Lp-spaces of entire analytic functions, a number of results on sequence space representations of Hörmander-Beurling are given. 相似文献
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In this paper we are interested in conditions on the coefficients of a two-dimensional Walsh multiplier operator that imply the operator is bounded on certain of the Hardy type spaces Hp, 0<p<∞. We consider the classical coefficient conditions, the Marcinkiewicz-Hörmander-Mihlin conditions. They are known to be sufficient for the trigonometric system in the one and two-dimensional cases for the spaces Lp, 1<p<∞. This can be found in the original papers of Marcinkiewicz [J. Marcinkiewicz, Sur les multiplicateurs des series de Fourier, Studia Math. 8 (1939) 78-91], Hörmander [L. Hörmander, Estimates for translation invariant operators in Lp spaces, Acta Math. 104 (1960) 93-140], and Mihlin [S.G. Mihlin, On the multipliers of Fourier integrals, Dokl. Akad. Nauk SSSR 109 (1956) 701-703; S.G. Mihlin, Multidimensional Singular Integrals and Integral Equations, Pergamon Press, 1965]. In this paper we extend these results to the two-dimensional dyadic Hardy spaces. 相似文献
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In this note we state weighted Poincaré inequalities associated with a family of vector fields satisfying Hörmander rank condition. Then, applications are given to relative isoperimetric inequalities and to local regularity (Harnack's inequality) for a class of degenerate elliptic equations with measurable coefficients. 相似文献
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For each integer k≥3, we find all maximal intervals Ik of natural numbers with the following property: whenever the number of elements in every maximal chain in a finite partially ordered set P lies in Ik, then P contains k pairwise disjoint maximal antichains. All such Ik are of the form
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Let X1,X2,…,Xq be a system of real smooth vector fields satisfying Hörmander's rank condition in a bounded domain Ω of Rn. Let be a symmetric, uniformly positive definite matrix of real functions defined in a domain U⊂R×Ω. For operators of kind