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Full-Text Articles in Analysis
The Loewner Equation And Weierstrass' Function, Gavin Ainsley Glenn
The Loewner Equation And Weierstrass' Function, Gavin Ainsley Glenn
Chancellor’s Honors Program Projects
No abstract provided.
Extension Theorems On Matrix Weighted Sobolev Spaces, Christopher Ryan Loga
Extension Theorems On Matrix Weighted Sobolev Spaces, Christopher Ryan Loga
Doctoral Dissertations
Let D a subset of Rn [R n] be a domain with Lipschitz boundary and 1 ≤ p < ∞ [1 less than or equal to p less than infinity]. Suppose for each x in Rn that W(x) is an m x m [m by m] positive definite matrix which satisfies the matrix Ap [A p] condition. For k = 0, 1, 2, 3;... define the matrix weighted, vector valued, Sobolev space [L p k of D,W] with
[the weighted L p k norm of vector valued f over D to the p power equals the sum over all alpha with order less than k of the integral over D of the the pth power …