Abstract
Abstract This paper is devoted to the study of the Lp -mapping properties of the commutators μ Ω ; b , 1 ${\mu _{\Omega ;b,1}}$ , μ Ω , λ ; b , 1 * ${ \mu _{\Omega ,\lambda ;b,1}^{*}}$ and μ Ω , S ; b , 1 ${ \mu _{\Omega ,S;b,1}}$ , which are formed respectively by a BMO ( ℝ n ) ${(\mathbb {R}^n)}$ function b(x) and a class of rough Marcinkiewicz integral operators μ Ω ${\mu _\Omega }$ , μ Ω , λ * ${\mu _{\Omega ,\lambda }^{*}}$ and μ Ω , S ${\mu _{\Omega ,S}}$ related to the Littlewood–Paley g-function, the Littlewood–Paley g λ * ${g_\lambda ^*}$ -function and the Lusin area integral, respectively, with the kernel condition which is different from the condition Ω ∈ H 1(S n-1).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
