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Multiplication Operators

Published online by Cambridge University Press:  20 November 2018

Martin Schechter
Martin Schechter*
Affiliation:
University of California, Irvine, California
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Let V(x) ≧ 0 be given on Rn and define

This constant has played a role in many investigation. For n — 3 it was shown in Courant-Hilbert [7] p. 446 that In [10], Kato estimates C2,2,2,ƛ(V) in terms of the L2 +L∞ norm of V in R3. Stummel [22] showed that C2,2,2,1(V) is bounded by in Rn, n > 2, provided α < 4. Browder [6] and Balslev [3] showed that Cs,q,q,ƛ(V) is bounded by

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 41 , Issue 2 , 01 April 1989 , pp. 234 - 249
Copyright
Copyright © Canadian Mathematical Society 1989

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