2024/10/01 by Cruz-Uribe, David, Myyryläinen, Kim
#26D15 #46E30 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Primary: 42B25 #Secondary: 42B35
paper · doi:10.48550/arxiv.2410.01012
We prove two-weight norm inequalities for parabolic fractional maximal functions using parabolic Muckenhoupt weights. In particular, we prove a two-weight, weak-type estimate and Fefferman-Stein type inequalities for the centered parabolic maximal function. We also prove that a parabolic Sawyer-type condition implies the strong-type estimate for the parabolic fractional maximal function. Finally, we prove the strong-type estimate for the centered parabolic maximal function assuming a stronger parabolic Muckenhoupt bump condition.