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math.AP2020★ 3 cited
Solvability for non-smooth Schrödinger equations with singular potentials and square integrable data
Andrew J. Morris, Andrew J. Turner
We develop a holomorphic functional calculus for first-order operators to solve boundary value problems for Schrödinger equations in t…
math.CA2020
Unboundedness of potential dependent Riesz transforms for totally irregular measures
Julian Bailey, Andrew J. Morris, Maria Carmen Reguera
We prove that, for totally irregular measures on with , the -dimensional Riesz transform $$ T_{A,μ}^{V}f(x) = \int_{\mathbb{R}^d} \nabla_{1}\mat…