Geodesic
Fractional oscillatory integral operators and their commutators on generalized Orlicz--Morrey spaces of the third kind
Eurasian mathematical journal, Tome 8 (2017) no. 3, pp. 36-47

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We deal with the generalized Orlicz–Morrey space $M_{\Phi,\varphi}$ of the third kind and consider the boundedness of the oscillatory integral operators and fractional oscillatory integral operators on $M_{\Phi,\varphi}$. Some integral estimates for generalized Orlicz–Morrey spaces of the third kind are also obtained by using weighted Hardy operators. The corresponding commutators generated by BMO-functions are also considered. 
@article{EMJ_2017_8_3_a4,
     author = {A. Eroglu},
     title = {Fractional oscillatory integral operators and their commutators on generalized {Orlicz--Morrey} spaces of the third kind},
     journal = {Eurasian mathematical journal},
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     url = {http://geodesic.mathdoc.fr/item/EMJ_2017_8_3_a4/}
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A. Eroglu. Fractional oscillatory integral operators and their commutators on generalized Orlicz--Morrey spaces of the third kind. Eurasian mathematical journal, Tome 8 (2017) no. 3, pp. 36-47. http://geodesic.mathdoc.fr/item/EMJ_2017_8_3_a4/