Upper and lower bounds for Littlewood–Paley square functions in the Dunkl setting
From MaRDI portal
Publication:5022618
DOI10.4064/sm200716-16-4zbMath1485.42023arXiv2005.00793OpenAlexW3022191032MaRDI QIDQ5022618
Jacek Dziubański, Agnieszka Hejna
Publication date: 19 January 2022
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.00793
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38) Integral operators (47G10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sobolev-type inequalities for Dunkl operators
- Riesz transform and Riesz potentials for Dunkl transform
- Riesz transforms for the dunkl harmonic oscillator
- Bessel and Flett potentials associated with Dunkl operators on \(\mathbb R^d\)
- Some new function spaces and their applications to harmonic analysis.
- Generalized Hermite polynomials and the heat equation for Dunkl operators
- The Dunkl transform
- On the Green function and Poisson integrals of the Dunkl Laplacian
- Littlewood--Paley operators associated with the Dunkl operator on \(\mathbb R\).
- Reflection groups and orthogonal polynomials on the sphere
- Asymptotic analysis for the Dunkl kernel
- Positivity of Dunkl's intertwining operator
- Schrödinger operators with reverse Hölder class potentials in the Dunkl setting and their Hardy spaces
- On semigroups generated by sums of even powers of Dunkl operators
- Behavior of eigenvalues of certain Schrödinger operators in the rational Dunkl setting
- Semigroup and Riesz transform for the Dunkl-Schrödinger operators
- Dunkl-Schrödinger operators
- Hörmander's multiplier theorem for the Dunkl transform
- Harmonic functions, conjugate harmonic functions and the Hardy space \(H^1\) in the rational Dunkl setting
- Potential operators associated with Hankel and Hankel-Dunkl transforms
- Equivalence of Littlewood-Paley square function and area function characterizations of weighted product Hardy spaces associated to operators
- Generalized Lorentz spaces and applications
- Convolution operator and maximal function for the Dunkl transform
- Dunkl-Schrödinger semigroups and applications
- Dunkl heat semigroup and applications
- Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
- On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
- Some results in harmonic analysis in 𝐑ⁿ, for 𝐧→∞
- Differential-Difference Operators Associated to Reflection Groups
- Integral Kernels with Reflection Group Invariance
- Theorems on Fourier Series and Power Series
- A positive radial product formula for the Dunkl kernel
- ON LITTLEWOOD–PALEY FUNCTIONS ASSOCIATED WITH THE DUNKL OPERATOR
- Modern Fourier Analysis
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
- Theorems on Fourier Series and Power Series (II)†
- Theorems on Fourier Series and Power Series(III)
- Hardy spaces for the Dunkl harmonic oscillator
