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Interior partial regularity for minimal Lp-vectorfields with integer fluxes
Interior partial regularity minimal Lp-vectorfields integer fluxes
2012/4/17
We use a new combinatorial technique to prove the optimal interior partial regularity result for Lp-vectorfields with integer fluxes minimizing the Lp-energy. More precisely, we prove that the minimal...
Notes on a slice distance for singular Lp-bundles
Notes slice distance singular Lp-bundles Differential Geometry
2012/4/17
A slice distance for the class of weak abelian Lp-bundles in 3 dimensions was introduced in a previous article in collaboration with Tristan Rivi\`ere, where it was used to prove the closure of such c...
Weighted Bergman Projections and Kernels: Lp Regularity and Zeros
Weighted Bergman Projections Kernels: Lp Regularity Zeros
2010/12/6
We investigate Lp regularity of weighted Bergman projec-tions and zeros of weighted Bergman kernels for the weights that are radially symmetric and comparable to 1 on the unit disc.
Lp Solutions of Vector Refinement Equations with General Dilation Matrix
Lp Solutions Vector Refinement Equations General Dilation Matrix
2018/4/20
The purpose of this paper is to investigate the solutions of refinement equations of the form'(x) = X®2Zs a(®)'(Mx ¡ ®); x 2 Rs; where the vector of functions ' = ('1; :::; 'r)T is...