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Showing 1 to 4 of 4 for “"weighted Sobolev spaces"”.
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A Gauge-Theoretic Approach to the Chern Form of the Canonical Bundle on the Moduli Space of Stable Parabolic Bundles
… bundles on a closed Riemann surface using weighted Sobolev spaces. We study the metric properties of the moduli space, and in particular, we compute the L2 curvature of its canonical bundle. By identifying the canonical bundle with the index bundle of a suitable family of Dolbeault …
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Extension of the Hodge theorem to certain non-compact manifolds
… of the boundary ... We then describe doubly weighted Sobolev spaces on M. For elements of these spaces the harmonic parts of w1 and w2 lie in one Sobolev space, while the non-harmonic parts of w1 and w2 lie in a differently defined Sobolev space. We prove that ... is Fredholm on almost all of …
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Constructive approaches to quasi-Monte Carlo methods for multiple integration
… approach is to study worst-case error bounds in weighted function spaces in which the importance of the variables is moderated by some sequences of weights. Ideally, a family of quasi-Monte Carlo methods in some weighted function space should be strongly tractable. Strong tractability means that …
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Multiple Solutions on a Ball for a Generalized Lane Emden Equation
… this sub-critical exponent may be related to a weighted trace embedding.