Limiting weak-type behaviors for Riesz transforms and maximal operators in Bessel setting

DOI10.1007/s11464-019-0774-8zbMath1423.42026OpenAlexW2955780756WikidataQ127622229 ScholiaQ127622229MaRDI QIDQ2316941

Xianming Hou, Huo Xiong Wu

Publication date: 7 August 2019

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-019-0774-8

zbMATH Keywords

maximal operatorsRiesz transformsBessel operatorslimiting weak-type behaviours

Mathematics Subject Classification ID

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

Related Items

Weighted estimates for bilinear square functions with non-smooth kernels and commutators, The limiting weak-type behaviors of the strong maximal operators

Cites Work

• Unnamed Item
• Oscillation and variation for semigroups associated with Bessel operators
• Behavior of bounds of singular integrals for large dimension
• Behavior of maximal functions in \(R^ n\) for large n
• Riesz transforms associated to Bessel operators
• Maximal operators, Riesz transforms and Littlewood-Paley functions associated with Bessel operators on BMO
• The best constant for the centered Hardy-Littlewood maximal inequality
• \(L^1\)-Dini conditions and limiting behavior of weak type estimates for singular integrals
• Weak type \((1,1)\) behavior for the maximal operator with \(L^{1}\)-Dini kernel
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• REAL-VARIABLE CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH BESSEL OPERATORS
• Limiting weak–type behavior for singular integral and maximal operators
• Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
• Sharp inequalities for maximal functions associated with general measures
• Weak-type estimates for singular integrals and the Riesz transform
• On the Limiting Weak-type Behaviors for Maximal Operators Associated with Power Weighted Measure
• Oscillation and variation for the Riesz transform associated with Bessel operators
• Riesz transforms related to Bessel operators
• A note on the limiting weak-type behavior for maximal operators
• Classical Expansions and Their Relation to Conjugate Harmonic Functions
• On the Weak Type (1, 1) Inequality for Conjugate Functions