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941.
In this paper we generalize gradient estimates in Lp space to Orlicz space for weak solutions of elliptic equations of p-Laplacian type with small BMO coefficients in δ-Reifenberg flat domains. Our results improve the known results for such equations using a harmonic analysis-free technique. 相似文献
942.
Stephan Dahlke Gitta Kutyniok Gabriele Steidl Gerd Teschke 《Applied and Computational Harmonic Analysis》2009,27(2):195-214
In this paper, we study the relationships of the newly developed continuous shearlet transform with the coorbit space theory. It turns out that all the conditions that are needed to apply the coorbit space theory can indeed be satisfied for the shearlet group. Consequently, we establish new families of smoothness spaces, the shearlet coorbit spaces. Moreover, our approach yields Banach frames for these spaces in a quite natural way. We also study the approximation power of best n-term approximation schemes and present some first numerical experiments. 相似文献
943.
It will provide us an effective method to study the color perception of the elderly if we can employ for young subjects a
pair of glasses with color property chosen to simulate that of the elderly. One problem has to be solved before using such
glasses based on the concept of the recognized visual space of illumination, that is, the size of the glasses. When a piece
of a white paper is seen through a yellow filter in a room, it naturally appears yellowish. But if the observer uses the filter
to cover his/her eyes entirely the white paper returns to its original white; this is known as color constancy. Between these
two extreme cases, the color is expected to change from yellow to white. Chromaticness and hue of an achromatic test chart
of a small or large size were determined by the elementary color naming method when the chart was seen monocularly through
a red, yellow, green or blue filter, respectively, placed at various distances from the eyes. Chromaticness was large at around
40% when the visual field through the filter was equal to or smaller than the test chart, but it rapidly decreased when the
visual field extended over the test chart so that objects other than the test chart were included in the visual field. It
decreased to almost zero when the filter was about 5 cm or less away from the eye. It was concluded that we do not necessarily
have to use goggles to cover the entire visual field but can use a normal pair of glasses made of colored filters for young
subjects to study the color perception of the elderly with understanding that the study is only for the color perception experienced
while wearing the glasses. 相似文献
944.
该文讨论了$\a$-Bloch空间$\ba$和对数Bloch空间$\bl$之间的加权Ces\'aro算子$\tg$的有界性和紧性,给出$\tg$是$\ba$到$\bl$的有界算子或紧算子的充要条件和$\tg$是$\bl$到$\ba$的有界算子或紧算子的充要条件. 相似文献
945.
We give some multidimensional Tauberian theorems for generalized functions and show examples of their application in mathematical physics. In particular, we consider the problems of stabilizing the solutions of the Cauchy problem for the heat kernel equation, multicomponent gas diffusion, and the asymptotic Cauchy problem for a free Schrödinger equation in the norms of different Banach spaces among others. 相似文献
946.
Ricard Martí 《Journal of Combinatorial Theory, Series A》2008,115(4):547-568
Let k=Fq be a finite field. We enumerate k-rational n-sets of (unordered) points in a projective space PN over k, and we compute the generating function for the numbers of PGLN+1(k)-orbits of these n-sets. For N=1,2 we obtain a formula for these numbers of orbits as a polynomial in q with integer coefficients. 相似文献
947.
Francisco M. Fernández 《International journal of quantum chemistry》2009,109(4):717-719
We show that the connected‐moments polynomial approach proposed recently is equivalent to the well known Rayleigh–Ritz variation method in the Krylov space. We compare the latter with one of the original connected‐moments methods by means of a numerical test on an anharmonic oscillator. © 2008 Wiley Periodicals, Inc. Int J Quantum Chem, 2009 相似文献
948.
设{Xn,n≥1}是实可分Banach空间独立随机变量,讨论了在弱大数律的假设下使得Chung-Teicher型强大数律也成立,即bn^-1||∑k=1^n(Xk-EXkI(||Xk||≤bk))||→^p0当且仅当bn^-1||∑中k=1^n(Xk-EXkI(||Xk||≤bk))||→^a.s.0. 相似文献
949.
A. L. Kuz’mina 《Russian Mathematics (Iz VUZ)》2008,52(7):8-14
We study Besicovitch-type spaces of generalized almost periodic functions. The main result is a theorem on representation of linear continuous functionals that is similar to the classical result of F. Riesz. 相似文献
950.
Flavia Ventriglia 《Rendiconti del Circolo Matematico di Palermo》2008,57(2):203-212
We introduce asymptotically exhaustive functions defined on Vitali Spaces with values in a Hausdorff commutative topological
group and we prove for them some classical convergence theorems.
This article was supported by MURST, project “Analisi Reale” 相似文献