Weighted hyperbolic composition groups on the disc and subordinated integral operators

Abadias, Luciano; Galé, José E.; Miana, Pedro J.; Oliva-Maza, Jesús

doi:10.1016/j.aim.2024.109877

Advances in Mathematics

2024

DOI: 10.1016/j.aim.2024.109877

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Weighted hyperbolic composition groups on the disc and subordinated integral operators

Luciano Abadias,

José E. Galé,

Pedro J. Miana

et al.

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Cited by 3 publications

References 28 publications

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On the hyperbolic group and subordinated integrals as operators on sequence Banach spaces

Abadias,

Galé,

Miana

et al. 2024

Anal Math

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We show that the composition hyperbolic group in the unit disc, once transferred to act on sequence spaces, is bounded on $$\ell^p$$ ℓ p if and only if $${p=2}$$ p = 2 . We introduce some integral operators subordinated to that group which are natural generalizations of classical operators on sequences. For the description of such operators, we use some combinatorial identities which look interesting in their own.

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On the hyperbolic group and subordinated integrals as operators on sequence Banach spaces

Abadias,

Galé,

Miana

et al. 2024

Anal Math

View full text Add to dashboard Cite

show abstract

Spectral sets of generalized Hausdorff matrices on spaces of holomorphic functions onD

Abadias,

Oliva-Maza

2024

Journal of Functional Analysis

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Universality arising from invertible weighted composition operators

Abadias,

González-Doña,

Oliva-Maza

2025

Journal of Mathematical Analysis and Applications

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Weighted hyperbolic composition groups on the disc and subordinated integral operators

Cited by 3 publications

References 28 publications

On the hyperbolic group and subordinated integrals as operators on sequence Banach spaces

On the hyperbolic group and subordinated integrals as operators on sequence Banach spaces

Spectral sets of generalized Hausdorff matrices on spaces of holomorphic functions onD

Universality arising from invertible weighted composition operators

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