Mathematics – Classical Analysis and ODEs
Scientific paper
2006-03-28
Mathematics
Classical Analysis and ODEs
40 pages. Second of 4 papers. Can be read independently
Scientific paper
This is the second part of a series of four articles on weighted norm inequalities, off-diagonal estimates and elliptic operators. We consider a substitute to the notion of pointwise bounds for kernels of operators which usually is a measure of decay. This substitute is that of off-diagonal estimates expressed in terms of local and scale invariant $L^p-L^q$ estimates. We propose a definition in spaces of homogeneous type that is stable under composition. It is particularly well suited to semigroups. We study the case of semigroups generated by elliptic operators.
Auscher Pascal
Martell José María
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