Quantitative estimates for bounded holomorphic semigroups

Tuomas Hytönen; Stefanos Lappas

doi:10.1007/s00233-024-10407-z

Quantitative estimates for bounded holomorphic semigroups

Tuomas Hytönen^*, Stefanos Lappas

^*Tämän työn vastaava kirjoittaja

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

26 Lataukset (Pure)

Abstrakti

We revisit the theory of one-parameter semigroups of linear operators on Banach spaces in order to prove quantitative bounds for bounded holomorphic semigroups. Subsequently, relying on these bounds we obtain new quantitative versions of two recent results of Xu related to the vector-valued Littlewood–Paley–Stein theory for symmetric diffusion semigroups.

Alkuperäiskieli	Englanti
Sivut	115-144
Sivumäärä	30
Julkaisu	Semigroup Forum
Vuosikerta	108
Numero	1
Varhainen verkossa julkaisun päivämäärä	2024
DOI - pysyväislinkit	https://doi.org/10.1007/s00233-024-10407-z
Tila	Julkaistu - helmik. 2024
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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10.1007/s00233-024-10407-zLisenssi: CC BY

Quantitative estimates for bounded holomorphic semigroupsFinal published version, 443 KBLisenssi: CC BY

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title = "Quantitative estimates for bounded holomorphic semigroups",

abstract = "We revisit the theory of one-parameter semigroups of linear operators on Banach spaces in order to prove quantitative bounds for bounded holomorphic semigroups. Subsequently, relying on these bounds we obtain new quantitative versions of two recent results of Xu related to the vector-valued Littlewood–Paley–Stein theory for symmetric diffusion semigroups.",

keywords = "Bounded holomorphic semigroups, Littlewood–Paley–Stein theory, Martingale cotype, Symmetric diffusion semigroups, Uniform convexity",

author = "Tuomas Hyt{\"o}nen and Stefanos Lappas",

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doi = "10.1007/s00233-024-10407-z",

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AU - Hytönen, Tuomas

AU - Lappas, Stefanos

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/2

Y1 - 2024/2

N2 - We revisit the theory of one-parameter semigroups of linear operators on Banach spaces in order to prove quantitative bounds for bounded holomorphic semigroups. Subsequently, relying on these bounds we obtain new quantitative versions of two recent results of Xu related to the vector-valued Littlewood–Paley–Stein theory for symmetric diffusion semigroups.

AB - We revisit the theory of one-parameter semigroups of linear operators on Banach spaces in order to prove quantitative bounds for bounded holomorphic semigroups. Subsequently, relying on these bounds we obtain new quantitative versions of two recent results of Xu related to the vector-valued Littlewood–Paley–Stein theory for symmetric diffusion semigroups.

KW - Bounded holomorphic semigroups

KW - Littlewood–Paley–Stein theory

KW - Martingale cotype

KW - Symmetric diffusion semigroups

KW - Uniform convexity

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U2 - 10.1007/s00233-024-10407-z

DO - 10.1007/s00233-024-10407-z

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VL - 108

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JO - Semigroup Forum

JF - Semigroup Forum

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ER -

Quantitative estimates for bounded holomorphic semigroups

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