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Equiconvergence Theorems for Sturm Liouville Expansions and Sets of Divergence for Bochner Riesz Means in Sobolev Spaces
Authors:Leonardo Colzani  Giacomo Gigante  Sara Volpi
Institution:1. Dipartimento di Matematica e Applicazioni, Edificio U5, Università di Milano Bicocca, Via R. Cozzi 53, 20125, Milano, Italia
2. Dipartimento di Ingegneria, Università di Bergamo, Viale Marconi 5, Dalmine, 24044, Bergamo, Italia
Abstract:We state some equiconvergence results between Bochner Riesz means of expansions in eigenfunctions of suitable Sturm Liouville operators. Then we determine the Hausdorff dimension of the divergence set of Bochner Riesz means of radial functions in Sobolev classes on Euclidean and non Euclidean spaces.
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