Math @ Duke
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Publications [#330325] of Alexander A. Kiselev
Papers Published
- Kiselev, A, An interpolation theorem related to the A.E. convergence of integral operators,
Proceedings of the American Mathematical Society, vol. 127 no. 6
(January, 1999),
pp. 1781-1785 [doi]
(last updated on 2024/03/28)
Abstract: 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 Lorentz spaces follows from the appropriate norm estimates. ©1999 American Mathematical Society.
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