Abstract
In the present article we extend the best constant approximant operator from Lorentz spaces Γ p , w to Γ p − 1 , w for any 1 < p < ∞ and w ≥ 0 a locally integrable weight function, and from Γ 1 , w to the space of all measurable functions L 0 . Then we establish several properties of the extended best constant approximant operator and finally, we prove a generalized version of the Lebesgue Differentiation Theorem in L 0 .
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.
