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Nonlinear potentials and two weight trace inequalities for general dyadic and radial kernels (2003)

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

Publication details
Download http://arxiv.org/abs/math/0309286
Repository arXiv (United States)
Keywords Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs, 31C45, 46E35
Type text