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Maximal Operators Associated with Bilinear Multipliers of Limited Decay

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 2021; 143 (1)

Results analogous to those proved by Rubio de Francia [28] are obtained for a class of maximal functions formed by dilations of bilinear multiplier op......

Critical Points and Level Sets of Grushin-Harmonic Functions in the Plane

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 2021; 143 (2)

This paper concerns the critical points and the level sets of solutions of the Grushin equation in the plane. After exactly establishing descriptions ......

Littlewood-Paley-Stein Estimates for Non-Local Dirichlet Forms

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 2021; 143 (2)

We obtain the boundedness in L-p spaces for all 1 < p < infinity of the so-called vertical Littlewood-Paley functions for non-local Dirichlet fo......

On Delaunay Solutions of a Biharmonic Elliptic Equation with Critical Exponent

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 2020; 140 (1)

We are interested in the qualitative properties of positive entire solutions. We first show that u - u(s) changes signs infinitely many times in (0, i......

On the hyperbolic distance of n-times punctured spheres

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 2020; 141 (2)

The shortest closed geodesic in a hyperbolic surface X is called a systole of X. When X is an n-times punctured sphere (C) over cap \ A where A subset......

Transversality in the setting of hyperbolic and parabolic maps

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 2020; 141 (1)

In this paper we consider families of holomorphic maps defined on subsets of the complex plane, and show that the technique developed in [24] to treat......

ON THE SUPPORT OF THE FREE ADDITIVE CONVOLUTION

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 2020; 142 (1)

We consider the free additive convolution of two probability measures mu and nu on the real line and show that mu boxed plus nu is supported on a sing......

Sign-changing solutions of an elliptic system with critical exponent in dimension N=5

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 2019; 137 (1)

We study the following elliptic system with critical exponent: {- u =.1u + mu 1| u| 2 *- 2u + ss| u| 2 * 2 2u| v| 2 * 2, x. , - v =.2v + mu 2| v| 2 *-......

JIF:0.72

TOPOLOGICAL CORRESPONDENCE OF MULTIPLE ERGODIC AVERAGES OF NILPOTENT GROUP ACTIONS

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 2019; 138 (2)

Let (X, Gamma) be a topological system, where Gamma is a nilpotent group generated by T-1, ..., T-d such that for each T is an element of Gamma, T not......

JIF:0.72

A NOTE ON THE UNIQUE EXTREMALITY OF SPIRAL-STRETCH MAPS

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 2019; 138 (1)

In the recent paper [BFP], Balogh-Fassler-Platis proved that a spiral-stretch map is extremal for the extremal problem inf(g) integral integral(A1) ph......

JIF:0.72

POINTWISE CONVERGENCE OF MULTIPLE ERGODIC AVERAGES AND STRICTLY ERGODIC MODELS

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 2019; 139 (1)

By building some suitable strictly ergodic models, we prove that for an ergodic system (X, X, mu, T), d is an element of N, f(1),..., f(d). L-infinity......

JIF:0.72

Removable sets for intrinsic metric and for holomorphic functions

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 0; ()

We study the subsets of metric spaces that are negligible for the infimal length of connecting curves; such sets are called metrically removable. In p......

Compactness of Riesz transform commutator associated with Bessel operators

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 2018; 135 (2)

Let lambda > 0 and be the Bessel operator on R+:= (0,a). We first introduce and obtain an equivalent characterization of CMO(R+, x (2 lambda) dx). ......

JIF:0.72

Orbital stability of solitary waves for derivative nonlinear Schrodinger equation

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 2018; 135 (2)

In this paper, we show the orbital stability of solitons arising in the cubic derivative nonlinear Schrodinger equations. We consider the zero mass ca......

JIF:0.72

A BINARY INFINITESIMAL FORM OF THE TEICHMULLER METRIC

期刊: JOURNAL D ANALYSE MATHEMATIQUE, 2017; 131 ( )

Let S be a hyperbolic Riemann surface of finite analytic type. We give a binary infinitesimal form of the Teichmullermetric on the Teichmuller space T......

JIF:0.59

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