Weak type bounds for rough maximal singular integrals near \(L^1\)

DOI10.1016/j.jfa.2023.109881OpenAlexW3201954777MaRDI QIDQ2692702

Ankit Bhojak, Parasar Mohanty

Publication date: 22 March 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.00832

zbMATH Keywords

weightsrough singular integrals

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Cites Work

• Unnamed Item
• Sharp weighted bounds involving \(A_\infty\)
• On an estimate of Calderón-Zygmund operators by dyadic positive operators
• The sharp weighted bound for general Calderón-Zygmund operators
• A weak type bound for a singular integral
• Quantitative weighted estimates for rough homogeneous singular integrals
• Weak type (1,1) bounds for rough operators. II
• \(A_1\) bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden
• Maximal and singular integral operators via Fourier transform estimates
• Weak type (1,1) bounds for rough operators
• Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
• Sparse bounds for maximal rough singular integrals via the Fourier transform
• On the sharp upper bound related to the weak Muckenhoupt-Wheeden conjecture
• A weak type estimate for rough singular integrals
• Weighted norm inequalities for rough singular integral operators
• The \(L(\log L)^\epsilon\) endpoint estimate for maximal singular integral operators
• A sparse domination principle for rough singular integrals
• A Note on Singular Integrals
• On Singular Integrals
• Weak (1, 1) Boundedness of Singular Integrals with Nonsmooth Kernel
• Singular integral operators with rough kernels supported by subvarieties
• A singular integral operator with rough kernel
• Weighted weak type (1,1) estimates for singular integrals and Littlewood–Paley functions
• Singular maximal functions and Radon transforms near L 1
• Singular integral operators with rough convolution kernels
• An Endpoint Estimate for Rough Maximal Singular Integrals
• Classical Fourier Analysis
• Weighted Weak Type (1,1) Bounds for Rough Operators
• Weaker type \((1,1)\) estimates for Marcinkiewicz integrals with rough kernels

This page was built for publication: Weak type bounds for rough maximal singular integrals near \(L^1\)