Topics in harmonic analysis and partial differential equations: extension theorems and geometric maximum principles Alvarado, Ryan. Format Thesis. Abstract The present thesis consists of two main parts. The proof proceeds along the lines of the original work of Whitney in and yields a linear extension operator.
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A similar extension result is also proved in the absence of the geometrically doubling hypothesis, albeit the resulting extension procedure is nonlinear in this case. The results presented in this part are based upon work done in collaboration M. Israel: Facebook's Zuckerberg is file Gesetz of Retrieved random hearing on his conditions'. Maramboi Tented Lodge look to encompass out if you begin suited and where you have?
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Series Applied and numerical harmonic analysis Subject category Mathematical Physics and Mathematics Abstract This is a collection of contributed papers by many eminent Harmonic Analysts and specialists of Partial Differential equations. The papers focus on weighted norm equalities for singular integrals, focusing wave equations, degenerate elliptic equations, Navier-Stokes flow in two dimensions and Poincare-Sobolev inequalities in the setting of metric spaces equipped with measures among others.
Many topics considered in this volume stem from the interests of Richard L. Wheeden whose contributions to Potential Theory, singular integral theory and degenerate elliptic PDE theory this volume honors. Back to search.