Weak (1, 1) Boundedness of Singular Integrals with Nonsmooth Kernel

DOI10.2307/2047563zbMath0677.42013OpenAlexW4233448293MaRDI QIDQ3833023

Steven Hofmann

Publication date: 1988

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047563

zbMATH Keywords

singular integral operatorskernels of homogeneous typeweak (1,1) boundedness

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (20)

Weighted weak type \((1,1)\) estimates for singular integrals with non-isotropic homogeneity ⋮ An example of an unbounded maximal singular operator ⋮ A rotation method which gives linear \(L^{p}\) estimates for powers of the Ahlfors--Beurling operator ⋮ \(L^p\) estimates and weighted estimates of fractional maximal rough singular integrals on homogeneous groups ⋮ Sharp \(L^p\) estimates of powers of the complex Riesz transform ⋮ Asymptotic behavior of 𝐿^{𝑝} estimates for a class of multipliers with homogeneous unimodular symbols ⋮ Rough bilinear singular integrals ⋮ Improved estimates for bilinear rough singular integrals ⋮ Multilinear rough singular integral operators ⋮ Rough Singular Integral Operators along Submanifolds ⋮ Weak type bounds for rough maximal singular integrals near \(L^1\) ⋮ Singular integral operators with rough convolution kernels ⋮ Strong variational and jump inequalities in harmonic analysis ⋮ A note on weak type \(L^1\) boundedness of CZOs with rough kernels ⋮ Weak type (1,1) bound criterion for singular integrals with rough kernel and its applications ⋮ A weak type estimate for rough singular integrals ⋮ Weighted Norm Inequalities for Homogeneous Singular Integrals ⋮ Singular Integrals with Power Weights ⋮ Weak type \(L^1\) boundedness of CZOs with odd rough kernels ⋮ A weighted norm inequality for rough singular integrals

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