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A NOTE ON SCHRÖDINGER MAXIMAL OPERATORS WITH A COMPLEX PARAMETER

Part of: Harmonic analysis in several variables

Published online by Cambridge University Press:  10 May 2010

PER SJÖLIN  and
FERNANDO SORIA
PER SJÖLIN
Affiliation:
Department of Mathematics, Royal Institute of Technology, S-100 44 Stockholm, Sweden (email: pers@math.kth.se)
FERNANDO SORIA*
Affiliation:
Departamento de Matemáticas, Universidad Autónoma de Madrid and Instituto de Ciencias Matemáticas, ICMAT, E-28049 Madrid, Spain (email: fernando.soria@uam.es)
*
✉For correspondence; e-mail: fernando.soria@uam.es
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Abstract

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Extending previous results of the first author, some new estimates are obtained for maximal operators of Schrödinger type with a complex parameter.

Keywords

maximal functionSchrödinger equationSobolev spaces

MSC classification

Secondary: 42B15: Multipliers
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 88 , Issue 3 , June 2010 , pp. 405 - 412
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

Footnotes

The second author was partially supported by grants MTM2007-60952 and PR2009-0084.

References

[1]Sjölin, P., ‘Global maximal estimates for solutions to the Schrödinger equation’, Studia Math. 110 (1994), 105–114.Google Scholar
[2]Sjölin, P., ‘Maximal estimates for solutions to the nonelliptic Schrödinger equation’, Bull. Lond. Math. Soc. 39 (2007), 404–412.CrossRefGoogle Scholar
[3]Sjölin, P., ‘Maximal operators of Schrödinger type with a complex parameter’, Math. Scand. 105 (2009), 121–133.CrossRefGoogle Scholar