Weak Type Estimates for Riesz-Laguerre Transforms
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Publication:5297702
DOI10.1017/S0004972700039320zbMath1133.42024MaRDI QIDQ5297702
Publication date: 12 July 2007
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items (6)
Maximal operators of exotic and non-exotic Laguerre and other semigroups associated with classical orthogonal expansions ⋮ Variation inequalities for Riesz transforms and Poisson semigroups associated with Laguerre polynomial expansions ⋮ Weak-type inequality for conjugate first order Riesz-Laguerre transforms ⋮ Weak-type inequalities for higher order Riesz-Laguerre transforms ⋮ Riesz transforms and spectral multipliers of the Hodge-Laguerre operator ⋮ A quantum Laguerre semigroup
Cites Work
- Weak type \((1,1)\) estimates of the maximal function for the Laguerre semigroup in finite dimensions
- Higher-order Riesz operators for the Ornstein-Uhlenbeck semigroup
- Functional calculus for the Laguerre operator
- Higher order Riesz transforms, fractional derivatives, and Sobolev spaces for Laguerre expansions
- On Riesz transforms for Laguerre expansions
- 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.)
- Maximal operators for the holomorphic Laguerre semigroup
- Operators Associated with the Ornstein-Uhlenbeck Semigroup
- The Mehler Maximal Function: a Geometric Proof of the Weak Type 1
- Poisson Integrals for Hermite and Laguerre Expansions
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