2 papers
math.FA2022
Applications of Lax-Milgram theorem to problems in frame theory
Laura De Carli, Pierluigi Vellucci
We apply Lax-Milgram theorem to characterize scalable and piecewise scalable frame in finite and infinite-dimensional Hilbert spaces. We also introduce a method for approximating t…
math.AP2018
Weighted gradient inequalities and unique continuation problems
laura De Carli, Dmitry Gorbachev, Sergey Tikhonov
We use Pitt inequalities for the Fourier transform to prove the following weighted gradient inequality $$ \|e^{-τ\ell(\cdot)} u^{\frac 1q} f\|_q\leq c_τ\| e^{-τ\ell(\cdot)} v^{\fra…