Zygmund type and flag type maximal functions, and sparse operators
Files
(Published version)
Date
2023
Authors
Flores, G.J.
Li, J.
Ward, L.A.
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Journal article
Citation
Proceedings of the American Mathematical Society, 2023; 151(2):555-567
Statement of Responsibility
Conference Name
Abstract
We prove that the maximal functions associated with a Zygmund dilation dyadic structure in three-dimensional Euclidean space, and with the flag dyadic structure in two-dimensional Euclidean space, cannot be bounded by multiparameter sparse operators associated with the corresponding dyadic grid. We also obtain supplementary results about the absence of sparse domination for the strong dyadic maximal function.
School/Discipline
Dissertation Note
Provenance
Description
Access Status
Rights
Copyright 2022 American Mathematical Society