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We shall establish a discrete weighted Helmholtz decomposition in edge element spaces, which is stable uniformly with respect to the jumps in the discontinuous weight function. The stable decomposit...
We analyze the supports of weighted equilibrium measures in Cn. We give explicit examples of families of compact sets which arise as the support of a weighted equilibrium measure for some admissible w...
As an application of a new characterization of compactness of the @-Neumann operator we derive a sufficient condition for compactness of the @- Neumann operator on (0, q)-forms in weighted L2-spaces o...
The aim of this paper is to provide upper bounds for the entropy numbers of summation operators on trees in a critical case. In a recent paper [10] we elaborated a framework of weighted summation op...
This note outlines the realizable extension problem for weighted graphs and provides results of a detailed analysis of this problem for the weighted graph (K3 ,3, l).
In this paper, by using the atomic decomposition and molecular characterization of the homogeneous and non-homogeneous weighted Herz-type Hardy spaces H ˙K ,p q (w1,w2)(HK ,p q (w1,w2)), we obtain s...
Some of the 95 families of weighted K3 hypersurfaces have been known to have the isometric lattice polarizations. It is shown that weighted K3 hyper-surfaces in such families are to one-to-one corresp...
In this paper we obtain a weighted average formula for special values of L-functions attached to normalized elliptic modular forms of weight k and full level. These results are obtained by studying th...
We develop and analyze a first-order system least-squares spectral method for the second-order elliptic boundary value problem with variable coefficients. We first analyze the Chebyshev weighted nor...

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