【摘 要】
：
We present recent results on invariance of almost-orthogonal systems across A∞-weighted spaces L2(w).For systems of functions adapted to the dyadic cubes,and s
【机 构】
：
UniversityofVermont
【出 处】
：
Harmonic Analysis and Applications(2014调和分析及其应用学术会议)
论文部分内容阅读
We present recent results on invariance of almost-orthogonal systems across A∞-weighted spaces L2(w).For systems of functions adapted to the dyadic cubes,and satisfying mild smoothness and decay conditions,the functions do not change(except for trivial normalizing factors)when moving between ordinary L2 and L2(w),when the weight w is in A∞.Thus,up to multiplication by normalizing factors,such a system is almost-orthogonal in L2(w)for one A∞ weight w if and only if it is almost-orthogonal in every such L2(w).We discuss the extent to which w ∈ A∞ is necessary for this invariance.We sketch related results on wavelet representations of Calderón-Zygmund singular integral operators,showing that,in a natural sense,such operators are stable when their representing kernels suffer small errors in translation and dilation.
其他文献
目的1将前脂肪细胞株3T3-L1诱导为脂肪细胞后,通过添加不同剂量莱克多巴胺(ractopamine,RAC)或齐帕特罗(zilpaterol,ZIL)体外培养,探讨RAC和ZIL影响3T3-L1脂肪细胞分泌蛋白--瘦素(Leptin)合成的机制,并验证RAC和ZIL通过p38MAPK信号通路磷酸化调控3T3-L1脂肪细胞Leptin的合成机制,探讨RAC和ZIL在女性脂肪细胞内分泌紊乱及其相关疾
In this report,we will prove that every Schwartz function can be decomposed as the product of two Schwartz functions,and the same result is true for the D(Rn)fu
Let(x ,d,μ)be a non-homogeneous space,which means that(x ,d,μ)is a metric measure space satisfying both the geometrically doubling and the upper doubling cond
In this talk,some recent results of multilinear Littlewood-Paley operators will be introduced,including multilinear Littlewood-Paley g-function,Marcinkiewicz in
This is a joint work with Yoshihiro Sawano.In this talk,we discuss the weighted boundedness of the fractional type Marcinkiewicz integral operators associated t
In this talk,the so-called p-directional capacity is introduced and utilized to discover new isocapacitary inequalities that strengthen both Mazyas p-isocapacit
We introduce a new class of Carleson measures.Using the Caldersón-Zygmund decomposition,we establish a link between the new class and the classical Carleson me
In this talk,we characterize the flag weights via maximal operators and give the weighted norm inequality for flag singular integrals on homogeneous groups.We a
该文针对东北制药总厂氯霉素硝基废水危害严重、多年悬而未决的难题,采用炉渣吸附—微电解—生物氧化的方法对其进行了全面细致的研究.炉渣吸附实验分静态实验、动态实验和模
In this talk,we will present some recent results on the boundedness of rough sigular integrals along certain lower-dimensional sets,which cover the polynomial c