The concentration compactness method for sequences of functions consists in isolating singular behavior of a sequence in elementary sequences called ubbles" that results in rened convergence. Following [14] that studies con- centration structure of sequences in Banach spaces, the present paper provides comparable results for a class of metric spaces, uniformly rotund spaces, that possess an analog of weak (Banach-Alaoglu) compactness property: sequential compactness of bounded sets with respect to polar convergence.
Profile Decomposition in Metric Spaces / Devillanova, Giuseppe; Solimini, Sergio Fausto Libero; Tintarev, Cyril. - In: PURE AND APPLIED FUNCTIONAL ANALYSIS. - ISSN 2189-3756. - 2:4(2017), pp. 599-628.
Profile Decomposition in Metric Spaces
Giuseppe Devillanova;Sergio Solimini;
2017-01-01
Abstract
The concentration compactness method for sequences of functions consists in isolating singular behavior of a sequence in elementary sequences called ubbles" that results in rened convergence. Following [14] that studies con- centration structure of sequences in Banach spaces, the present paper provides comparable results for a class of metric spaces, uniformly rotund spaces, that possess an analog of weak (Banach-Alaoglu) compactness property: sequential compactness of bounded sets with respect to polar convergence.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
