Weighted estimates for maximal functions associated with finite type curves in R2

Manna, R and Shrivastava, S and Shuin, K (2021) Weighted estimates for maximal functions associated with finite type curves in R2. In: Nonlinear Analysis, Theory, Methods and Applications, 205 .

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Abstract

In this paper we establish weighted estimates for the maximal function associated with the finite type curve in the plane R2. We follow an approach used by M. Lacey to obtain sparse bounds for the maximal function. Further, using a different approach we obtain a characterisation of power weights for the weighted Lp boundedness of the maximal function. We also obtain analogous results for the lacunary maximal function associated with the finite type curve in the plane R2. © 2020 Elsevier Ltd

Item Type:	Journal Article
Publication:	Nonlinear Analysis, Theory, Methods and Applications
Publisher:	Elsevier Ltd
Additional Information:	Copyright to this article belongs to Elsevier Ltd
Keywords:	Mathematical techniques; Nonlinear analysis, Boundedness; Lacunary; Maximal functions; Type curves; Weighted l, Fourier analysis
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	22 Jan 2021 10:28
Last Modified:	22 Jan 2021 10:28
URI:	http://eprints.iisc.ac.in/id/eprint/67586

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