Discrete harmonic analysis associated with Jacobi expansions III: The Littlewood–Paley–Stein <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e40" altimg="si6.svg"><mml:msub><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:math>-functions and the Laplace type multipliers

Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar

doi:10.1016/j.jat.2023.105940

Journal of Approximation Theory

2023

DOI: 10.1016/j.jat.2023.105940

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Discrete harmonic analysis associated with Jacobi expansions III: The Littlewood–Paley–Stein gk-functions and the Laplace type multipliers

Alberto Arenas

Óscar Ciaurri

Edgar Labarga

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2023

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Variation and oscillation for semigroups associated with discrete Jacobi operators

Betancor,

De León-Contreras

2023

Anal.Math.Phys.

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In this paper we prove weighted $$\ell ^p$$ ℓ p -inequalities for variation and oscillation operators defined by semigroups of operators associated with discrete Jacobi operators. Also, we establish that certain maximal operators involving sums of differences of discrete Jacobi semigroups are bounded on weighted $$\ell ^p$$ ℓ p -spaces. $$\ell ^p$$ ℓ p -boundedness properties for the considered operators provide information about the convergence of the semigroup of operators defining them.

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Variation and oscillation for semigroups associated with discrete Jacobi operators

Betancor,

De León-Contreras

2023

Anal.Math.Phys.

View full text Add to dashboard Cite

show abstract

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Discrete harmonic analysis associated with Jacobi expansions III: The Littlewood–Paley–Stein gk-functions and the Laplace type multipliers

Cited by 1 publication

References 13 publications

Variation and oscillation for semigroups associated with discrete Jacobi operators

Variation and oscillation for semigroups associated with discrete Jacobi operators

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