J. M. Ortega

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20032015

most citedTwo weight norm inequalities for vector-valued operators

5 citations · 6 across the 7 of their papers we have counts for

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math.FA2006

On $L^{p}$ -- $L^{q}$ trace inequalities

Carme Cascante, Joaquin M. Ortega, Igor E. Verbitsky

We give necessary and sufficient conditions in order that inequalities of the type $∥ T_{K} f ∥_{L^{q} (d μ)} \leq C ∥ f ∥_{L^{p} (d σ)}, f \in L^{p} (d σ),$ hold for a class of integ…

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 $…

On Lp--Lq trace inequalities

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

On $L^{p}$ -- $L^{q}$ trace inequalities