I. Verbitsky

activity

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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Showing 2003Show all

2 papers · 1 filter

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 $…

math-ph2003★ 3 cited

The form boundedness criterion for the relativistic Schrödinger operator

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

We establish necessary and sufficient conditions for the boundedness of the relativistic Schrödinger operator $H = - Δ + Q$ from the Sobolev space $W^{1/2}_2 (\R^n)…