Another proof of Scurry's characterization of a two weight norm inequality for a sequence-valued positive dyadic operator

Abstract

In this note we prove Scurry's testing conditions for the boundedness of a sequence-valued averaging positive dyadic operator from a weighted Lp space to a sequence-valued weighted Lp space by using parallel stopping cubes.

arXiv comment13 pages

References in corpus (5)

• Two Weight Inequality for the Hilbert Transform: A Real Variable Characterization, II
• Two Weight Inequality for the Hilbert Transform: A Real Variable Characterization, I
• Two Weight Inequalities for Discrete Positive Operators
• The A_2 theorem: Remarks and complements
• A Characterization of Two-Weight Inequalities for a Vector-Valued Operator

Cited by in corpus (4)

• On $A_p$-$A_{\infty }$ type estimates for square functions
• A new two weight estimates for a vector-valued positive operator
• Two weight norm inequalities for vector-valued operators
• Two weight $L^p$ estimates for paraproducts in non-homogeneous settings