加权BMO函数空间上的Hardy—Littlewood极大算子

本文给出了Ｈａｒｄｙ－Ｌｉｔｔｌｅｗｏｏｄ极大函数的加权ＢＭＯ的有界性证明，即若ｆ∈ＢＭＯ，Ｗ∈Ａ∞且ｉｎｆｍｆ（ｘ）〈∞则Ｍ（ｆ）（ｚ）∈ＢＭＯ。     

单边Hardy－Littlewood极大算子的加权弱（1．1）型不等式

设Ｍ￣＋、Ｍ￣－为单边Ｈａｒｄｙ－Ｌｉｔｔｌｅｗｏｏｄ极大算子，ｕ（ｘ）、ｖ（ｘ）为实直线Ｒ上两个权函数。本文得到Ｍ￣＋（或Ｍ￣－）关于测度ｖ（ｘ）ｄｘ和ｕ（ｘ）ｄｘ是弱（１．１）型的当且仅当（ｕ，ｖ）∈或（ｕ，ｖ）．     

单边Hardy—Littlewood极大算子的加权弱（1.1）型不等式

设Ｍ＾＋、Ｍ＾－为单边Ｈａｒｄｙ－Ｌｉｔｔｌｅｗｏｏｄ极大算子，ｕ（ｘ）、ｖ（ｘ）为实直线Ｒ上两相权函数。本文得到Ｍ＾＋（或Ｍ＾－）关于测度ｖ（ｘ）ｄｘ和ｕ（ｘ）ｄｘ是弱（１．１）型的当且仅当（ｕ，ｖ）∈Ａ１＾＋（或（ｕ，ｖ）∈Ａ１＾－）。     

位势算子与极大算子的加权有界性

本文考虑的算子,包括极大算子、分数次积分、poisson 算子,都是把 R~n 上的函数映到 R_ ~(n 1)上的函数的。主要结果有二个方面:首先解决了一个 Muckenhoupt 型问题,即,给出了 R 上的权函数ω(x)的充要条件,使得这些算子是从 L~p(R~n,ω(x))到某个加权 L~q(R_ ~(n 1))空间的有界算子;其次,建立了这些算子的一个因子分解。     

BMO鞅空间上极大算子与均方算子的有界性

本文证明了,q 均方算子在 X 值 BMO 鞅空间上是有界的当且仅当 X 同构于 q凸 Banach 空间。此外给出了极大算子与 q 均方算子的 BMO 范数,讨论了鞅空间(?)_q 与BMO_q 的相互包含关系并以此刻划了 Banach 空间的几何性质。     

齐型空间上的极大算子的BMO有界性

本文完全解决了满足条件“所有开球都是开集且连续函数全体在Ｌ¹中稠”的齐型空间上的Ｈ－Ｌ极大算子的ＢＭＯ有界性。     

Hardy—Littlewood极大算子的交换子的尖锐加权模不等式

给出了由Hardy-Littlewood极大算子M和b∈BMO生成的m阶交换子的加权模不等式,并对1p≤2的情况举例证明了其结果是尖锐的.     

Surjectivity of Linear Differential Operators in a Weighted Space of Infinitely Differentiable Functions

We present a sufficient condition for the surjectivity of a linear differential operator of infinite order with constant coefficients in a weighted space of infinitely differentiable functions on the real line.     

位势型算子的加权不等式

Let Ф be a non-negative locally integrable function on R^n and satisfy some weak growth conditions, define the potential type operator TФ by TФf（x）=∫R^n Ф（x-y）f（y）dy. The aim of this paper is to give several strong type and weak type weighted norm inequalities for the potential type operator TФ.     

加权Bloch型空间上的广义复合算子

研究了加权Bloch型空间上的广义复合算子的有界性和紧性,得到了刻画该算子为有界和紧的一些充分必要条件.     

Littlewood-Paley g-函数与加权BMO函数

设gφ,b是Littlewood-Paley g-函数与b生成的交换子.本文证明了若α,β属于Muckenhoupt A_p权函数类,1相似文献   

从$Q_{k}(p,q)$空间到加权$\alpha-Bloch$空间的加权复合微分后置和前置算子

We study the boundedness and compactness of the weighted composition followed and proceeded by differentiation operators from Q_k（p,q）space to weighted α-Bloch space and little weighted α-Bloch space.Some necessary and sufficient conditions for the boundedness and compactness of these operators are given.     

Weighted Composition Operators from the Bloch Space to Weighted Banach Spaces on Bounded Homogeneous Domains

We study the bounded and the compact weighted composition operators from the Bloch space into the weighted Banach spaces of holomorphic functions on bounded homogeneous domains, with particular attention to the unit polydisk. For bounded homogeneous domains, we characterize the bounded weighted composition operators and determine the operator norm. In addition, we provide sufficient conditions for compactness. For the unit polydisk, we completely characterize the compact weighted composition operators, as well as provide ＂computable＂ estimates on the operator norm.     

空间上加权复合算子的Fredholm性

This paper characterizes bounded, Fredholm weighted composition operators on Hardy space. As an application, the Fredholm index of such operators is obtained.     

Weighted Composition Operators Between Weighted Bloch Type Spaces and Weighted Banach Spaces of Holomorphic Functions

Let φ: 𝔻 → 𝔻 and ψ: 𝔻 → ? be analytic maps. They induce a weighted composition operator ψ C _φ acting between weighted Bloch type spaces and weighted Banach spaces of holomorphic functions. Under some assumptions on the weights, we give a necessary as well as a sufficient condition when such an operator is bounded resp. compact.