【摘 要】
：
This paper is devoted to studying the Marcinkiewicz integral operators associated to polynomial compound curves.Some new bounds for the above operators on the Lebesgue,Triebel-Lizorkin,and Besov spaces are established by assuming that their rough kernels
【机 构】
：
School of Computer Science and Mathematics,Fujian University of Technology,Fuzhou 350118,China;Shand
论文部分内容阅读
This paper is devoted to studying the Marcinkiewicz integral operators associated to polynomial compound curves.Some new bounds for the above operators on the Lebesgue,Triebel-Lizorkin,and Besov spaces are established by assuming that their rough kernels are given by Ω ∈ H1(Sn-1)and h ∈ Aγ(R+) for some γ ＞ 1.It should be pointed out that the bounds are independent of h,Ω,γ,and the coefficients of the polynomials in the definition of the operators.
其他文献
We focus on the elliptic genera of level N at the cusps of a congruence subgroup for any complete intersection.Writing the first Chern class of a complete intersection as a product of an integral coefficient c1 and a generator of the 2nd integral cohomolo
We present upper bounds of eigenvalues for finite and infinite dimensional Cauchy-Hankel tensors.It is proved that an m-order infinite dimensional Canchy-Hankel tensor defines a bounded and positively (m-1)-homogeneous operator from l1 into lp (1 ＜ p ＜ ∞)
By using the perpetual cutoff method,we prove two discrete versions of gradient estimates for bounded Laplacian on locally finite graphs with exception sets under the condition of CDE\'(K,N).This generalizes a main result of F.Münch who considers the ca
The Fourier matrix is fundamental in discrete Fourier transforms and fast Fourier transforms.We generalize the Fourier matrix,extend the concept of Fourier matrix to higher order Fourier tensor,present the spectrum of the Fourier tensors,and use the Fouri
This paper is devoted to constructing some recollements of additive categories associated to concentric twin cotorsion pairs on an extriangulated category.As an application,this result generalizes the work by W.J.Chen,Z.K.Liu,and X.Y.Yang in a triangulate
We study conformal minimal two-spheres immersed into the quaternionic projective space HPn by using the twistor map.We present a method to construct new minimal two-spheres with constant curvature in HPn,based on the minimal property and horizontal condit
We study the well-posedness and decay properties of a one-dimensional thermoelastic laminated beam system either with or without structural damping,of which the heat conduction is given by Fourier\'s law effective in the rotation angle displacements.We
We are concerned with SIR epidemics in a random environment on complete graphs,where edges are assigned with i.i.d,weights.Our main results give large and moderate deviation principles of sample paths of this model.Our results generalize large and moderat
We define the Whittaker modules over the simply-connected quantum group Uq(sl3,∧),where A is the weight lattice of Lie algebra sl3.Then we completely classify all those simple ones.Explicitly,a simple Whittaker module over Uq(sl33,∧) is either a highest w
后疫情时代,很多行业已经被永久的改变了.例如最具传统的银行业:对消费者来说是已经想不起来上一次去网点排队办业务是什么时候了,因为过去要到网点才能完成的交易在手机上直接操作就可以完成了;而对于金融机构,则是摆在每一位银行管理者面前的巨大挑战——如何推动传统银行业务实现彻底的数字化转型.