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Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings
BMO Bessel operators Carleson measures uniformly convex uniformly smooth Banach spaces
2011/9/22
Abstract: In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associated with Be...
Some asymptotics for the Bessel functions with an explicit error term
Bessel function Airy function asymptotic error term zeros
2011/9/1
Abstract: We show how one can obtain an asymptotic expression for some special functions satisfying a second order differential equation with a very explicit error term starting from appropriate upper...
Banach空间中p阶Bessel列的扰动
扰动 p阶Bessel列 Banach空间
2012/11/13
应用算子论方法研究Banach空间X中p(1
Bessel列的扰动问题, 对X中的任一p阶Bessel列f={fi}i∈I, 定义了有界线性算子Tf: X*→lp, 建立了从全体p阶Bessel列组成的Banach空间BpX(I)到算子空间B(X*,lp)上的等距线性同构α: f→Tf, 并给出了p阶Bessel列的扰动定理。
Calderón-Zygmund operators in the Bessel setting
Bessel operator Bessel semigroup maximal operator square function
2011/2/28
We study several fundamental operators in harmonic analysis related to Bessel operators, including maximal operators related to heat and Poisson semigroups, Littlewood-Paley-Stein square functions, mu...
Relative trace formulae toward Bessel and Fourier-Jacobi periods of unitary groups
Relative trace formulae Fourier-Jacobi periods of unitary groups
2011/2/24
We propose a relative trace formula approach and state the corresponding fundamental lemma
toward the global restriction problem involving Bessel or Fourier-Jacobi periods of unitary groups Un×Um, ex...
Functional inequalities for modified Bessel functions
Functional inequalities Modified Bessel functions Convexity with respect to H¨older means
2010/12/13
In this paper our aim is to show some mean value inequalities for the modified Bessel functions of the first and second kinds. Our proofs are based on some bounds for the logarithmic derivatives of th...
Bessel场位与奥尔里奇空间
2007/12/12
本文引进并研究了带奥尔里奇范数的Bessel场位$L_n^\varphi(R^n)$,并证明了,在一定条件下,当k为正整数时,$L_k^\varphi(R^n)$与Orlicz-Sobolev空间$L_k^\varphi(R^n)$等价.从而推广了Calderon在[4]中关于$L_a^p(R^n)$的定理.