Abstract
In this paper we prove two extrapolation theorems for related weights. The theorems proved by C. Segovia and J.L. Torrea in [C. Segovia and J.L. Torrea, Weighted inequalities for commutators of fractional and singular integrals. Publ. Mat. 35 (1991) 209-235] are adapted for one-sided weights. We apply these extrapolation theorems to improve weighted inequalities for commutators (with symbol b depending on the related weights) of several one-sided operators such as the Weyl and the Riemann-Liouville fractional integrals, or one-sided maximal operators given by the convolution with a smooth function. We also characterize the symbols b for which the commutators of these one-sided operators are bounded.
Sign-in/Register to access full text options 
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.
