Limiting weak–type behavior for singular integral and maximal operators

DOI10.1090/S0002-9947-05-04097-3zbMath1096.42005MaRDI QIDQ3372148

Prabhu Janakiraman

Publication date: 17 February 2006

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

zbMATH Keywords

Hardy-Littlewood maximal operatorweak \((1,1)\) estimatedilation-commuting singular integral operator

Mathematics Subject Classification ID

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

Related Items (15)

The limiting weak-type behaviors of intrinsic square functions ⋮ Limiting weak-type behaviors for certain Littlewood-Paley functions ⋮ Limiting weak type behavior for multilinear fractional integrals ⋮ Optimal weak estimates for Riesz potentials ⋮ Some remarks on the Fefferman-Stein inequality ⋮ A limiting weak type estimate for capacitary maximal function ⋮ On the Limiting Weak-type Behaviors for Maximal Operators Associated with Power Weighted Measure ⋮ Limiting weak-type behaviors for certain classical operators in harmonic analysis ⋮ Vector-valued estimates on limiting weak-type behaviors of singular integrals and maximal operators ⋮ Limiting weak-type behavior for the Riesz transform and maximal operator when \(\lambda \rightarrow \infty \) ⋮ The limiting weak-type behaviors of the strong maximal operators ⋮ Weak type \((1,1)\) behavior for the maximal operator with \(L^{1}\)-Dini kernel ⋮ A note on the limiting weak-type behavior for maximal operators ⋮ Limiting weak-type behaviors for Riesz transforms and maximal operators in Bessel setting ⋮ Limiting weak-type behaviors for fractional maximal operators and fractional integrals with rough kernel

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