Hardy and BMO spaces associated with new Muckenhoupt-type weights in the Bessel setting

Qingdong Guo; Ji Li; Dongyong Yang

doi:10.1002/mana.70054

Hardy and BMO spaces associated with new Muckenhoupt-type weights in the Bessel setting

Qingdong Guo, Ji Li, Dongyong Yang

School of Mathematical and Physical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce the Hardy spaces (Formula presented.) with (Formula presented.) in the new weights (Formula presented.), (Formula presented.), associated with the Bessel operator (Formula presented.) Then we establish equivalent characterizations of (Formula presented.) via atoms and maximal functions. We also introduce the weighted (Formula presented.) space (Formula presented.) and establish the duality of (Formula presented.) and (Formula presented.) for (Formula presented.). As an application, we show a (Formula presented.) -Carleson characterization of (Formula presented.) with (Formula presented.) via the Poisson semigroup (Formula presented.).

Original language	English
Pages (from-to)	3639-3685
Number of pages	47
Journal	Mathematische Nachrichten
Volume	298
Issue number	12
DOIs	https://doi.org/10.1002/mana.70054
Publication status	Published - Dec 2025

Keywords

Ã𝑝,𝜆 weight
Bessel operator
Carleson measure
weighted BMO space
weighted Hardy space

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10.1002/mana.70054

Cite this

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title = "Hardy and BMO spaces associated with new Muckenhoupt-type weights in the Bessel setting",

abstract = "We introduce the Hardy spaces (Formula presented.) with (Formula presented.) in the new weights (Formula presented.), (Formula presented.), associated with the Bessel operator (Formula presented.) Then we establish equivalent characterizations of (Formula presented.) via atoms and maximal functions. We also introduce the weighted (Formula presented.) space (Formula presented.) and establish the duality of (Formula presented.) and (Formula presented.) for (Formula presented.). As an application, we show a (Formula presented.) -Carleson characterization of (Formula presented.) with (Formula presented.) via the Poisson semigroup (Formula presented.).",

keywords = "{\~A}𝑝,𝜆 weight, Bessel operator, Carleson measure, weighted BMO space, weighted Hardy space",

author = "Qingdong Guo and Ji Li and Dongyong Yang",

year = "2025",

month = dec,

doi = "10.1002/mana.70054",

language = "English",

volume = "298",

pages = "3639--3685",

journal = "Mathematische Nachrichten",

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publisher = "Wiley-VCH, Wiley",

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TY - JOUR

T1 - Hardy and BMO spaces associated with new Muckenhoupt-type weights in the Bessel setting

AU - Guo, Qingdong

AU - Li, Ji

AU - Yang, Dongyong

PY - 2025/12

Y1 - 2025/12

N2 - We introduce the Hardy spaces (Formula presented.) with (Formula presented.) in the new weights (Formula presented.), (Formula presented.), associated with the Bessel operator (Formula presented.) Then we establish equivalent characterizations of (Formula presented.) via atoms and maximal functions. We also introduce the weighted (Formula presented.) space (Formula presented.) and establish the duality of (Formula presented.) and (Formula presented.) for (Formula presented.). As an application, we show a (Formula presented.) -Carleson characterization of (Formula presented.) with (Formula presented.) via the Poisson semigroup (Formula presented.).

AB - We introduce the Hardy spaces (Formula presented.) with (Formula presented.) in the new weights (Formula presented.), (Formula presented.), associated with the Bessel operator (Formula presented.) Then we establish equivalent characterizations of (Formula presented.) via atoms and maximal functions. We also introduce the weighted (Formula presented.) space (Formula presented.) and establish the duality of (Formula presented.) and (Formula presented.) for (Formula presented.). As an application, we show a (Formula presented.) -Carleson characterization of (Formula presented.) with (Formula presented.) via the Poisson semigroup (Formula presented.).

KW - Ã𝑝,𝜆 weight

KW - Bessel operator

KW - Carleson measure

KW - weighted BMO space

KW - weighted Hardy space

UR - http://purl.org/au-research/grants/arc/DP220100285

UR - https://www.scopus.com/pages/publications/105019978469

U2 - 10.1002/mana.70054

DO - 10.1002/mana.70054

M3 - Article

SN - 0025-584X

VL - 298

SP - 3639

EP - 3685

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 12

ER -

Hardy and BMO spaces associated with new Muckenhoupt-type weights in the Bessel setting

Abstract

Keywords

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DP22: Harmonic analysis of Laplacians in curved spaces

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Hardy and BMO spaces associated with new Muckenhoupt-type weights in the Bessel setting

Abstract

Keywords

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DP22: Harmonic analysis of Laplacians in curved spaces

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