2 citations · 5 across the 19 of their papers we have counts for
23 papers
Sobolev Inequalities and the Existence of Solutions to Degenerate -Poisson Equations
David Cruz-Uribe, Feyza Dal, Scott Rodney
In this paper we study an equivalence between the existence of a Sobolev inequality without gain, \[\|φ\|_{L^p(v,Ω)} \leq S(p,1) \| \sqrt{Q}\nabla φ\|_{L^p(Ω)},\] that holds for sm…
Degenerate Sobolev and Poincaré inequalities via extrapolation
David Cruz-Uribe, Feyza Elif Dal, Scott Rodney
In this paper we prove matrix weighted Sobolev and Poincaré inequalities using techniques derived from the theory of Rubio de Francia extrapolation. Given weights and a sym…
On in Banach function spaces
Şeyma Çetin, David Cruz-Uribe OFS, Scott Rodney
In this paper we prove ``" in the context of a Banach function space . Let be a subset of and denote by the collection of all those $f\in…
The weak maximum principle for solutions of degenerate elliptic equations with lower order terms
David Cruz-Uribe, Scott Rodney
We prove a weak maximum principle for subsolutions of a degenerate, linear, second order elliptic operator with lower order terms, building on the existence results recently proved…
Existence and uniqueness of solutions of degenerate elliptic equations with lower order terms
Seyma Cetin, David Cruz-Uribe, Feyza Elif Dal +2
We prove the existence and uniqueness of solutions to a Dirichlet problem \[ \begin{cases} Lu = f + v^{-1}\text{Div}(v{\bf e} h), & x \in Ω; u = 0, & x \in \partial Ω, \end{cases}\…
Geometric Structure in Weighted Alpert Wavelets
Fletcher Gates, Scott Rodney
In this paper we present a number of results concerning Alpert wavelet bases for , with a locally finite positive Borel measure on . We show that the prop…