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Interpolation of bilinear operators and compactness
interpolation Banach spaces bilinear operators compactness
2012/6/6
The behavior of bilinear operators acting on interpolation of Banach spaces for the $\rho$ method in relation to the compactness is analyzed. Similar results of Lions-Peetre, Hayakawa and Person's com...
On a measure of non-compactness for some classical operators
measure of non-compactness maximal functions singular integrals embeddings weight
2007/12/13
The measure of non-compactness is estimated from below for various operators, including the Hardy--Littlewood maximal opera\-tor, the fractional maximal operator and the Hilbert transform, all acting ...