Boundedness of positive operators on weighted amalgams

Abstract

Abstract In this article, we characterize the pairs (u, v) of positive measurable functions such that T maps the weighted amalgam in (Lp (u), ℓ q ) for all , where T belongs to a class of positive operators which includes Hardy operators, maximal operators, and fractional integrals. 2000 Mathematics Subject Classification 26D10, 26D15 (42B35)

Keywords

• Amalgams
• Maximal operators
• Weighted inequalities
• Weights