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101.
102.
Xing Hui GAO Hai Yun ZHOU . College of Mathematics Computer Science Yan’an University Shaanxi P. R. China . Department of Basic Courses Shijiazhuang Mechanical Engineering College Hebei 《数学研究与评论》2011,31(5)
The purpose of this article is to propose a shrinking projection method and prove a strong convergence theorem for a family of quasi-φ-strict asymptotically pseudo-contractions. Its results hold in reflexive, strictly convex, smooth Banach spaces with the property (K). The results of this paper improve and extend the results of Matsushita and Takahashi, Marino and Xu, Zhou and Gao and others. 相似文献
103.
In this paper we give the conditions on the pair (ω
1, ω
2) which ensures the boundedness of the anisotropic maximal operator and anisotropic singular integral operators from one generalized
Morrey space Mp,w1 \mathcal{M}_{p,\omega _1 } to another Mp,w2 \mathcal{M}_{p,\omega _2 }, 1 < p < g8, and from the space M1,w1 \mathcal{M}_{1,\omega _1 } to the weak space WM1,w2 W\mathcal{M}_{1,\omega _2 }. 相似文献
104.
In this paper, the authors give the boundedness on Triebel-Lizorkin spaces for the parabolic singular integral with rough
kernel and its commutator. 相似文献
105.
We study a family of stationary increment Gaussian processes, indexed by time. These processes are determined by certain measures σ (generalized spectral measures), and our focus here is on the case when the measure σ is a singular measure. We characterize the processes arising from σ when σ is in one of the classes of affine selfsimilar measures. Our analysis makes use of Kondratiev white noise spaces. With the use of a priori estimates and the Wick calculus, we extend and sharpen (see Theorem 7.1) earlier computations of Ito stochastic integration developed for the special case of stationary increment processes having absolutely continuous measures. We further obtain an associated Ito formula (see Theorem 8.1). 相似文献
106.
Philip A.H. Brooker 《Journal of Functional Analysis》2011,260(8):2222-2246
For α an ordinal and 1<p<∞, we determine a necessary and sufficient condition for an ?p-direct sum of operators to have Szlenk index not exceeding ωα. It follows from our results that the Szlenk index of an ?p-direct sum of operators is determined in a natural way by the behaviour of the ε-Szlenk indices of its summands. Our methods give similar results for c0-direct sums. 相似文献
107.
《Journal of Functional Analysis》2011,260(7):1944-1968
We investigate continuity properties of the operators obtained by the magnetic Weyl calculus on nilpotent Lie groups, using modulation spaces associated with unitary representations of certain infinite-dimensional Lie groups. 相似文献
108.
Gaurav Thakur 《Journal of Functional Analysis》2011,260(8):2283-2299
We study some problems related to the effect of bounded, additive sample noise in the bandlimited interpolation given by the Whittaker-Shannon-Kotelnikov (WSK) sampling formula. We establish a generalized form of the WSK series that allows us to consider the bandlimited interpolation of any bounded sequence at the zeros of a sine-type function. The main result of the paper is that if the samples in this series consist of independent, uniformly distributed random variables, then the resulting bandlimited interpolation almost surely has a bounded global average. In this context, we also explore the related notion of a bandlimited function with bounded mean oscillation. We prove some properties of such functions, and in particular, we show that they are either bounded or have unbounded samples at any positive sampling rate. We also discuss a few concrete examples of functions that demonstrate these properties. 相似文献
109.
Zujin Zhang 《Journal of Mathematical Analysis and Applications》2011,375(2):799-802
We study the Cauchy problem for the generalized MHD equations, and prove some regularity criteria involving the integrability of ∇u in the Morrey, multiplier spaces. 相似文献
110.
U?ur Gül 《Journal of Mathematical Analysis and Applications》2011,377(2):771-791
In this work we study the essential spectra of composition operators on Hardy spaces of analytic functions which might be termed as “quasi-parabolic.” This is the class of composition operators on H2 with symbols whose conjugate with the Cayley transform on the upper half-plane are of the form φ(z)=z+ψ(z), where ψ∈H∞(H) and ℑ(ψ(z))>?>0. We especially examine the case where ψ is discontinuous at infinity. A new method is devised to show that this type of composition operator fall in a C*-algebra of Toeplitz operators and Fourier multipliers. This method enables us to provide new examples of essentially normal composition operators and to calculate their essential spectra. 相似文献