Weak type \((1,1)\) behavior for the maximal operator with \(L^{1}\)-Dini kernel
From MaRDI portal
Publication:2014233
DOI10.1007/s11118-017-9612-3zbMath1371.42019OpenAlexW2572305116MaRDI QIDQ2014233
Publication date: 10 August 2017
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-017-9612-3
Related Items
Rearrangement inequality for the Hardy-Littlewood maximal operator ⋮ 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 ⋮ 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 ⋮ The limiting weak-type behaviors of the strong maximal operators ⋮ On rough maximal inequalities: an extension of Fefferman-Stein results ⋮ Limiting weak-type behaviors for Riesz transforms and maximal operators in Bessel setting ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations ⋮ Limiting weak-type behaviors for fractional maximal operators and fractional integrals with rough kernel
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The weak type \((1,1)\) bounds for the maximal function associated to cubes grow to infinity with the dimension
- Behavior of maximal functions in \(R^ n\) for large n
- Weak type (1,1) bounds for rough operators. II
- Maximal inequality for high-dimensional cubes
- Maximal and singular integral operators via Fourier transform estimates
- A theory of entropy in Fourier analysis
- The best constant for the centered Hardy-Littlewood maximal inequality
- Higher order commutators for a class of rough operators
- Homogeneous fractional integrals on Hardy spaces
- \(L^1\)-Dini conditions and limiting behavior of weak type estimates for singular integrals
- The \(L^{p_ 1} \times L^{p_ 2} \times \cdots \times L^{p_ k}\) boundedness for some rough operators
- Lower bounds for the weak type \((1, 1)\) estimate for the maximal function associated to cubes in high dimensions
- The development of square functions in the work of A. Zygmund
- On Singular Integrals
- Limiting weak–type behavior for singular integral and maximal operators
- Weighted Norm Inequalities for Fractional Integral Operators With Rough Kernel
- Weighted Norm Inequalities for Homogeneous Singular Integrals
- Weak type bounds for a class of rough operators with power weights
- Weak-type estimates for singular integrals and the Riesz transform
- Singular integral operators with rough convolution kernels
- Weighted Norm Inequalities for Singular and Fractional Integrals
- On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov
- On the Weak Type (1, 1) Inequality for Conjugate Functions
This page was built for publication: Weak type \((1,1)\) behavior for the maximal operator with \(L^{1}\)-Dini kernel
