Work

Two-weight norm inequalities for parabolic fractional maximal functions

Year: 2025

Type: article

Abstract: 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.

Source: Revista Matemática Complutense

DOI: 10.1007/s13163-025-00545-5

Authors: David Cruz-Uribe, Kim Myyryläinen

Institutions: University of Alabama, Charles University

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: National Science Foundation, Simons Foundation, Univerzita Karlova v Praze