On the bilinear Bochner-Riesz problem at critical index

DOI10.1007/s12220-022-01122-8OpenAlexW4313430589MaRDI QIDQ2110302

Surjeet Singh Choudhary, Saurabh Shrivastava

Publication date: 21 December 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.12036

zbMATH Keywords

maximal functionssquare functionsBochner-Riesz meansbilinear multiplier operators

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

• Localization and summability of multiple Fourier series
• Maximal estimates for the bilinear spherical averages and the bilinear Bochner-Riesz operators
• The bilinear Bochner-Riesz problem
• New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
• Weak type (1,1) bounds for rough operators
• Dimension free bounds for the vector-valued Hardy-Littlewood maximal operator
• Improved bound for the bilinear Bochner-Riesz operator
• Maximal operators associated with bilinear multipliers of limited decay
• Maximal estimates for bilinear Bochner-Riesz means
• Weighted estimates for bilinear Bochner-Riesz means at the critical index
• Extrapolation for multilinear Muckenhoupt classes and applications
• Classical Fourier Analysis
• Boundedness of the bilinear Bochner-Riesz means in the non-Banach triangle case
• Weighted Weak Type (1,1) Bounds for Rough Operators
• Some Maximal Inequalities