Bilinear rough singular integral operators on Morrey spaces
- 11 Downloads
Recently Grafakos et al., have proved that the bilinear rough singular integral operators are bounded on Lebesgue spaces. Here we aim to show that these operators extend to bounded linear operators on Morrey spaces as well. Although the proof hinges on the boundedness due to Grafakos et al., the proof seems to give a general technique to prove or extend the boundedness of the operators.
KeywordsSingular integral operators Bilinear operators Rough operators Morrey spaces
Mathematics Subject Classification42B20 42B99
Compliance with ethical standards
Conflicts of interest
The authors declare that they have no conflict of interest.
This article does not contain any studies with human participants or animals performed by any of the authors.
- 4.Triebel, H. 2014. Hybrid function spaces, heat and Navier-Stokes equations. EMS tracts in mathematics. European Mathematical Society (EMS) 24: 121. Zürich.Google Scholar