Fractional integrals on weighted Hardy spaces

Yong Ding; Ming Yi Lee; Chin Cheng Lin

doi:10.1016/S0022-247X(03)00167-7

Fractional integrals on weighted Hardy spaces

Department of Mathematics

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

12 Scopus citations

Abstract

In this paper, applying the atomic decomposition and molecular characterization of the real weighted Hardy spaces H_w^p(ℝⁿ), we give the weighted boundedness of the homogeneous fractional integral operator T_Ω,α from H_wp^p (ℝⁿ) to L_wq^q (ℝⁿ), and from H_wp^p (ℝⁿ) to H_wq^q (ℝⁿ).

Original language	English
Pages (from-to)	356-368
Number of pages	13
Journal	Journal of Mathematical Analysis and Applications
Volume	282
Issue number	1
DOIs	https://doi.org/10.1016/S0022-247X(03)00167-7
State	Published - 1 Jun 2003

Keywords

A weights
Fractional integrals
L-Dini condition
Weighted Hardy spaces

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10.1016/S0022-247X(03)00167-7

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title = "Fractional integrals on weighted Hardy spaces",

abstract = "In this paper, applying the atomic decomposition and molecular characterization of the real weighted Hardy spaces Hwp(ℝn), we give the weighted boundedness of the homogeneous fractional integral operator TΩ,α from Hwpp (ℝn) to Lwqq (ℝn), and from Hwpp (ℝn) to Hwqq (ℝn).",

keywords = "A weights, Fractional integrals, L-Dini condition, Weighted Hardy spaces",

author = "Yong Ding and Lee, \{Ming Yi\} and Lin, \{Chin Cheng\}",

note = "Funding Information: * Corresponding author. E-mail addresses: [email protected] (Y. Ding), [email protected] (M.-Y. Lee), [email protected] (C.-C. Lin). 1 Y. Ding was supported by NNSF of China under Grant 10271016. 2 C.-C. Lin was supported by NSC in Taipei under Grant NSC 91-2115-M-008-009.",

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T1 - Fractional integrals on weighted Hardy spaces

AU - Ding, Yong

AU - Lee, Ming Yi

AU - Lin, Chin Cheng

N1 - Funding Information: * Corresponding author. E-mail addresses: [email protected] (Y. Ding), [email protected] (M.-Y. Lee), [email protected] (C.-C. Lin). 1 Y. Ding was supported by NNSF of China under Grant 10271016. 2 C.-C. Lin was supported by NSC in Taipei under Grant NSC 91-2115-M-008-009.

PY - 2003/6/1

Y1 - 2003/6/1

N2 - In this paper, applying the atomic decomposition and molecular characterization of the real weighted Hardy spaces Hwp(ℝn), we give the weighted boundedness of the homogeneous fractional integral operator TΩ,α from Hwpp (ℝn) to Lwqq (ℝn), and from Hwpp (ℝn) to Hwqq (ℝn).

AB - In this paper, applying the atomic decomposition and molecular characterization of the real weighted Hardy spaces Hwp(ℝn), we give the weighted boundedness of the homogeneous fractional integral operator TΩ,α from Hwpp (ℝn) to Lwqq (ℝn), and from Hwpp (ℝn) to Hwqq (ℝn).

KW - A weights

KW - Fractional integrals

KW - L-Dini condition

KW - Weighted Hardy spaces

UR - https://www.scopus.com/pages/publications/0037673440

U2 - 10.1016/S0022-247X(03)00167-7

DO - 10.1016/S0022-247X(03)00167-7

M3 - 期刊論文

AN - SCOPUS:0037673440

SN - 0022-247X

VL - 282

SP - 356

EP - 368

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Fractional integrals on weighted Hardy spaces

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Keywords

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