Two-weight norm inequalities for fractional integral operators with Aλ,∞ $A_{\lambda,\infty}$ weights

Abstract

Abstract In this paper, we introduce a new class of weights, the Aλ,∞ $A_{\lambda, \infty}$ weights, which contains the classical A∞ $A_{\infty}$ weights. We prove a mixed Ap,q $A_{p,q}$– Aλ,∞ $A_{\lambda,\infty}$ type estimate for fractional integral operators.

Keywords

• Fractional integral operators
• Two-weight norm inequalities
• Fractional maximal operators
• A λ , ∞ $A_{\lambda,\infty}$ weights