One and two weight norm inequalities for Riesz potentials

2012/07/23 by Cruz-Uribe, David, Moen, Kabe · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1207.5551

Abstract

We consider weighted norm inequalities for the Riesz potentials I_α, also referred to as fractional integral operators. First we prove mixed A_p-A_∞ type estimates in the spirit of [13, 15, 17]. Then we prove strong and weak type inequalities in the case p

Cited by

• Recent results on matrix weighted norm inequalities

Related

• One and two weight norm inequalities for Riesz potentials
• Two weight norm inequalities for fractional integral operators and\n commutators
• Weighted estimates for generalized Riesz potentials
• Weighted norm inequalities for Schrödinger type operators
• Weighted norm inequalities for convolution and Riesz potential