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

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

2003-09-17

arxiv.org/abs/math/0309286v1

Mathematics

Functional Analysis

to appear in Indiana Univ. Math. J. (33 pages)

Scientific paper

We study trace inequalities of the type $$ \| T_k f\|_{L^q(d\mu)}\leq C \|f\|_{L^p(d\sigma)}, \qquad f \in L^p(d\sigma), $$ in the ``upper triangle case'' $1 \leq q

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