Open AccessTheory of discrete Muckenhoupt weights and discrete Rubio de Francia extrapolation theorems
Author(s) -
S. H. Saker,
Ravi P. Agarwal
Publication year - 2021
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm210120017s
Subject(s) - mathematics , extrapolation , interpolation (computer graphics) , pure mathematics , bounded function , discrete mathematics , operator (biology) , mathematical analysis , image (mathematics) , biochemistry , chemistry , repressor , artificial intelligence , computer science , transcription factor , gene
In this paper, we will prove a discrete Rubio De Francia extrapolation theorem in the theory of discrete Ap? Muckenhoupt weights for which the discrete Hardy-Littlewood maximal operator is bounded on ?p w (Z+). The results will be proved by employing the self-improving property of the discrete Ap? Muckenhoupt weights and the Marcinkiewicz Interpolation Theorem.