Vol. 286, No. 2, 2017

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ISSN: 0030-8730
Almost everywhere convergence for modified Bochner–Riesz means at the critical index for $p \geq 2$

Marco Annoni

Vol. 286 (2017), No. 2, 257–275
Abstract

Boundedness for a maximal modified Bochner–Riesz operator between weighted L2 spaces is proved. As a consequence, we have sufficient conditions for a.e. convergence of the modified Bochner–Riesz means at the critical exponent pλ = 2n(n 2λ 1).

Keywords
Bochner–Riesz means, maximal Bochner–Riesz means, almost everywhere convergence, weighted inequalities, radial multipliers
Mathematical Subject Classification 2010
Primary: 42B15
Secondary: 42B10, 42B25
Milestones
Received: 4 November 2014
Accepted: 26 June 2016
Published: 15 January 2017
Authors
Marco Annoni
1513 Indiana St.
Apt. A
St Charles, IL 60174
United States