An interpolation theorem related to the a.e. convergence of integral operators
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- by Alexander Kiselev PDF
- Proc. Amer. Math. Soc. 127 (1999), 1781-1788 Request permission
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.References
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Additional Information
- Alexander Kiselev
- Affiliation: Mathematical Sciences Research Institute, 5 1000 Centennial Drive, Berkeley, California 94720
- Address at time of publication: Department of Mathematics, University of Chicago, 5734 South University Avenue, Chicago, Illinois 60637-1546
- Email: kiselev@math.uchicago.edu
- Received by editor(s): June 4, 1997
- Received by editor(s) in revised form: September 17, 1997
- Published electronically: February 11, 1999
- Communicated by: Christopher D. Sogge
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1781-1788
- MSC (1991): Primary 42C15, 43A50; Secondary 34L40
- DOI: https://doi.org/10.1090/S0002-9939-99-04681-X
- MathSciNet review: 1476143