An interpolation theorem related to the A.E. convergence of integral operators

Proceedings of the American Mathematical Society

Volumn 127, Issue 6, 1999, Pages 1781-1785

  Kiselev, Alexander ^a,b  

^a MATHEMATICAL SCIENCES RESEARCH INSTITUTE   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007142434     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-04681-x     Document Type: Article

References (8)

1. J. Bergh and J. Löfström, Interpolation Spaces: An Introduction, Springer-Verlag, Berlin Heidelberg 1976. MR 58:2349
2. L. Carleson, On convergence and growth of partial sums of Fourier series, Acta Math. 116 (I960), 135-157. MR 33:7774
3. A. Garsia, Topics in a.e. Convergence, Markham Pub. Company, Chicago 1970. MR 41:5869
4. A. Kiselev, Stability of the absolutely continuous spectrum of Schrödinger equation under perturbations by slowly decreasing potentials and a.e. convergence of integral operators, to appear in Duke Math. J.
5. A. Kiselev, Stability of the absolutely continuous spectrum of Jacobi matrices under slowly decaying perturbations, in preparation.
6. R.E.A.C. Paley, Some theorems on orthonormal functions, Studia Math. 3 (1931), 226-245.
7. E.M. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton Univ. Press, Princeton 1971. MR 46:4102
8. A. Zygmund, A remark on Fourier transforms, Proc. Camb. Phil. Soc. 32 (1936), 321-327.