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arXiv:math/9610217 [math.CA]AbstractReferencesReviewsResources

An interpolation theorem related to the a.e. convergence of integral operators

Alexander Kiselev

Published 1996-10-01Version 1

We show that for integral operators of general form the norm bounds in Lorentz spaces imply certain norm bounds for the maximal function. As a consequence, the a.e. convergence for the integral operators on the Lorentz spaces follows from the appropriate norm estimates.

Categories: math.CA, math.FA
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