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91.
Yongsheng Han Shanzhen Lu Dachun Yang 《Journal of Fourier Analysis and Applications》2001,7(6):571-600
In this article a Littlewood-Paley theorem for a new kind of Littlewood-Paley g-functions over spaces of homogeneous type
is presented. Based on it the authors establish inhomogeneous discrete Calderón reproducing formulas for spaces of homogeneous
type, making use of Calderón-Zygmund operators. 相似文献
92.
A necessary and sufficient condition is presented for a set to be a Pompeiu subset of any compact homogeneous space with a
finite invariant measure. The condition, which is expressed in terms of the intertwining operators of each primary summand
of the quasi-regular representation, is then interpreted in the case of the compact Heisenberg manifolds. Examples are presented
demonstrating that the condition to be Pompeiu in these manifolds is quite different from the corresponding condition for
a torus of the same dimension. This provides a contrast with the existing comparison between the Heisenberg group itself and
Euclidean space in terms of Pompeiu sets. In addition, the closed linear span of all translates of any square integrable function
on any compact homogeneous space is determined. 相似文献
93.
We show that for every k-automatic sequence there exists a natural number p>0 such that the sequences of the form (kpn+j)n?0 with j=0,…,p−1 are scaling sequences for f. Moreover, we demonstrate that every limit set is the union of certain basic limit sets. 相似文献
94.
A. Groli 《Journal of Differential Equations》2003,190(2):407-438
We prove the existence of two bifurcation branches for a variational inequality in a case when the corresponding asymptotic problem is nonsymmetric. We use a nonsmooth variational framework and a blow-up argument which allows to find multiple critical points possibly at the same level. An application to plates with obstacle is presented. 相似文献
95.
In this paper we examine semilinear hemivariational inequalities at resonance at any eigenvalue of the negative Laplacian with Dirichlet boundary condition. Our approach is variational based on the Nonsmooth Critical Point Theory and it uses a generalized Landesman–Lazer condition. We prove two existence theorems using two different forms of the generalized Landesman–Lazer condition. In the last section we show that our Landesman-Lazer condition is more general than the ones existing in the literature. 相似文献
96.
Existence results for semilinear elliptic variational inequalities with changing sign nonlinearities
In this paper we present some existence results for a class of semilinear elliptic variational inequalities, depending on
a real parameter λ, with changing sign nonlinearities. The fundamental tool to prove the existence result is a penalization
method combined with the Mountain Pass Theorem and the Linking Theorem, respectively in the case λ < λ 1 and λ ≥ λ 1, where λ1 is the first eigenvalue of the uniformly elliptic operator A involved in the variational inequality. 相似文献
97.
We show that the L
2-torsion of odd dimensional hyperbolic manifolds, which is proportional to the volume, is non-zero. This proves a conjecture
of Lott.
Received: 27 March 1998 相似文献
98.
Ambroladze and Wallin have posed several problems, about balayage of measures, which arose from work on approximation by
polynomial and rational interpolation in the complex plane. These problems concern the possible coincidence of measures swept
onto a Jordan curve from the inner and outer domains. This paper describes when the desired balayage properties hold. 相似文献
99.
Quanshing Liu 《Probability Theory and Related Fields》1996,104(4):515-538
Summary We obtain a critical function for which the Hausdorff measure of a branching set generated by a simple Galton-Watson process is positive and finite. 相似文献
100.