An interpolation theorem related to the A.E. convergence of integral operators
Publication
, Journal Article
Kiselev, A
Published in: Proceedings of the American Mathematical Society
January 1, 1999
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.
Duke Scholars
Published In
Proceedings of the American Mathematical Society
DOI
ISSN
0002-9939
Publication Date
January 1, 1999
Volume
127
Issue
6
Start / End Page
1781 / 1785
Related Subject Headings
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Kiselev, A. (1999). An interpolation theorem related to the A.E. convergence of integral operators. Proceedings of the American Mathematical Society, 127(6), 1781–1785. https://doi.org/10.1090/s0002-9939-99-04681-x
Kiselev, A. “An interpolation theorem related to the A.E. convergence of integral operators.” Proceedings of the American Mathematical Society 127, no. 6 (January 1, 1999): 1781–85. https://doi.org/10.1090/s0002-9939-99-04681-x.
Kiselev A. An interpolation theorem related to the A.E. convergence of integral operators. Proceedings of the American Mathematical Society. 1999 Jan 1;127(6):1781–5.
Kiselev, A. “An interpolation theorem related to the A.E. convergence of integral operators.” Proceedings of the American Mathematical Society, vol. 127, no. 6, Jan. 1999, pp. 1781–85. Scopus, doi:10.1090/s0002-9939-99-04681-x.
Kiselev A. An interpolation theorem related to the A.E. convergence of integral operators. Proceedings of the American Mathematical Society. 1999 Jan 1;127(6):1781–1785.
Published In
Proceedings of the American Mathematical Society
DOI
ISSN
0002-9939
Publication Date
January 1, 1999
Volume
127
Issue
6
Start / End Page
1781 / 1785
Related Subject Headings
- 4904 Pure mathematics
- 0101 Pure Mathematics