Boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces. (English) Zbl 1472.42017

Fu, Zunwei; Lu, Shanzhen; Pan, Yibiao; Shi, Shaoguang

Abstr. Appl. Anal. 2014, Article ID 291397, 7 p. (2014).

Summary: We consider one-sided weight classes of Muckenhoupt type, but larger than the classical Muckenhoupt classes, and study the boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces using interpolation of operators with change of measures.

MSC:

42B20	Singular and oscillatory integrals (Calderón-Zygmund, etc.)
46E30	Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Keywords:

Muckenhoupt classes; interpolation of operators

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