I. Verbitsky

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20032005

most citedInfinitesimal form boundedness and Trudinger's subordination for the Schrödinger operator

30 citations · 36 across the 5 of their papers we have counts for

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math.FA2004★ 30 cited

Infinitesimal form boundedness and Trudinger's subordination for the Schrödinger operator

V. G. Maz'ya, I. E. Verbitsky

We give explicit analytic criteria for two problems associated with the Schrödinger operator $H = - Δ + Q$ on $L^{2} (R^{n})$ where $Q \in D^{'} (R^{n})$ is an arbitrary real- or complex-value…

math.FA2003

Nonlinear potentials and two weight trace inequalities for general dyadic and radial kernels

C. Cascante, J. M. Ortega, I. E. Verbitsky

We study trace inequalities of the type $∥ T_{k} f ∥_{L^{q} (d μ)} \leq C ∥ f ∥_{L^{p} (d σ)}, f \in L^{p} (d σ),$ in the ``upper triangle case'' $1 \leq q < p$ for integral operators $…