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Boundedness of fractional oscillatory integral operators and their commutators on generalized Morrey spaces

Ahmet Eroglu

Author Affiliations

Department of Mathematics, Nigde University, Nigde, Turkey

Boundary Value Problems 2013, 2013:70  doi:10.1186/1687-2770-2013-70

Published: 2 April 2013


In this paper, it is proved that both oscillatory integral operators and fractional oscillatory integral operators are bounded on generalized Morrey spaces <a onClick="popup('http://www.boundaryvalueproblems.com/content/2013/1/70/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2013/1/70/mathml/M1">View MathML</a>. The corresponding commutators generated by BMO functions are also considered.

MSC: 42B20, 42B25, 42B35.

generalized Morrey space; oscillatory integral; commutator; BMO spaces