Some remarks on extrapolation with "flat" weights

2012/04/18 by Boros, Nicholas, Pattakos, Nikolaos, Volberg, Alexander
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1204.3963

Abstract

We prove an extrapolation result for general operators under some weak assumptions on the boundedness of the operator. In particular, we show that if the operator is weakly bounded on some L^p₀(w), for all "flat" weights, w in A_p₀, 1 < p₀

Related

• Extrapolation in the scale of generalized reverse Hölder weights
• Extrapolation via Sawyer-type inequalities
• Extrapolation and weighted norm inequalities in the variable Lebesgue spaces
• Extrapolation in Weighted Classical and Grand Lorentz Spaces.\n Application to the Boundedness of Integral operators
• Extrapolation of compactness on weighted spaces II: Off-diagonal and\n limited range estimates