数学学报杂志 北大期刊 CSCD期刊 统计源期刊

Weighted Estimates for Multilinear Pseudodifferential Operators

作者：Kang; Wei; LI; Wen; Chang; SUN 刊期：2014年第08期

In this paper,we study the weighted estimates for multilinear pseudodifferential operators.We show that a multilinear pseudodifferential operator is bounded with respect to multiple weights whenever its symbol satisfies some smoothness and decay conditions.Our result generalizes similar ones from the classical Ap wei...

Trigonometric Series with a Generalized Monotonicity Condition

作者：Lei; FENG; Vilmos; TOTIK; Song; Ping; ZHOU 刊期：2014年第08期

In this paper,we consider numerical and trigonometric series with a very general monotonicity condition.First,a fundamental decomposition is established from which the sufficient parts of many classical results in Fourier analysis can be derived in this general setting.In the second part of the paper a necessary and ...

Complex Interpolation of Weighted Besov and Lizorkin–Triebel Spaces

作者：Winfried; SICKEL; Leszek; SKRZYPCZAK; Jan; VYBIRAL 刊期：2014年第08期

We study complex interpolation of weighted Besov and Lizorkin–Triebel spaces.The used weights w0,w1 are local Muckenhoupt weights in the sense of Rychkov.As a first step we calculate the Calder′on products of associated sequence spaces.Finally,as a corollary of these investigations,we obtain results on complex inte...

Tingley＇s Problem on Symmetric Absolute Normalized Norms on R^2

作者：Ryotaro; TANAKA 刊期：2014年第08期

In this paper,we study Tingley’s problem on symmetric absolute normalized norms on R2.We construct new methods for Tingley’s problem on two-dimensional spaces by using isosceles orthogonality,which does not make use of the notion of natural extension.Furthermore,using our methods,several sufficient conditions for T...

Non-differentiability of Alpha Function at the Boundary of Flat

作者：Jian; Lu; ZHANG; Min; ZHOU 刊期：2014年第08期

With the variational method introduced by Mather,we construct a mechanical Hamiltonian system whose α function has a flat F and is non-differentiable at the boundary F.In the case of two degrees of freedom,we prove that this phenomenon is stable under perturbations of Maé's.

On the Laws of Large Numbers for Double Arrays of Independent Random Elements in Banach Spaces

作者：Andrew; ROSALSKY; Le; Van; THANH; Nguyen; Thi; THUY 刊期：2014年第08期

Duals of Hardy Spaces of B-valued Martingales for 0 〈 r ≤ 1

作者：Lin; YU 刊期：2014年第08期

Uniform Exponential Attractor for Nonautonomous Partly Dissipative Lattice Dynamical System

作者：Sheng; Fan; ZHOU; Jia; Jia; LOU 刊期：2014年第08期

In this paper,we consider the existence of a uniform exponential attractor for the nonautonomous partly dissipative lattice dynamical system with quasiperiodic external forces.

Algebraic Properties of Toeplitz and Small Hankel Operators on the Harmonic Bergman Space

作者：Hong; Yan; GUAN; Yu; Feng; LU 刊期：2014年第08期

In this paper,we discuss some algebraic properties of Toeplitz operators and small Hankel operators with radial and quasihomogeneous symbols on the harmonic Bergman space of the unit disk in the complex plane C.We solve the product problem of quasihomogeneous Toeplitz operator and quasihomogeneous small Hankel operat...

Multilinear Fractional Hausdorff Operators

作者：Da; Shan; FAN; Fa; You; ZHAO 刊期：2014年第08期

In this paper,by introducing the space with weak mixed norms,weak type estimates of two kinds of multilinear fractional Hausdorff operators RΦ,β and SΦ,β on Lebesgue spaces are shown.By virtue of Marcinkiewicz interpolation,strong type estimates of these two operators on Lebesgue spaces are also obtained.Our methods ...

Nonparametric Regression with Interval-Censored Data

作者：Wen; Li; DENG; Zu; Kang; ZHENG; Ri; Quan; ZHANG 刊期：2014年第08期

In many medical studies,the prevalence of interval censored data is increasing due to periodic monitoring of the progression status of a disease.In nonparametric regression model,when the response variable is subjected to interval-censoring,the regression function could not be estimated by traditional methods directl...

Spherical f-Tilings by Two Noncongruent Classes of Isosceles Triangles-II

作者：Ana; BREDA; Robert; DAWSON; Patricia; RIBEIRO 刊期：2014年第08期

A Kinematic Formula for Integral Invariant of Degree 4in Real Space Form

作者：De; Shuo; JIANG; Jia; Zu; ZHOU; Fang; Wei; CHEN 刊期：2014年第08期

In this paper,kinematic formulae in a real space form are investigated.A kinematic formula for homogeneous polynomial of degree 4 on the second fundamental forms in a real space form is obtained.The formula obtained is a concrete form of the result of Howard and the analogue of the known formula of Chen and Zhou.