Boundedness of the discrete square function on nondoubling parabolic manifolds with ends

Hong Chuong Doan

doi:10.11650/tjm/201001

Boundedness of the discrete square function on nondoubling parabolic manifolds with ends

Hong Chuong Doan

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

Abstract

Let M be a nondoubling parabolic manifold with ends. In this study, we will investigate the L^p boundedness of the discrete square function in terms of the Littlewood-Paley decomposition. It should be pointed out that, in our setting, the doubling condition of the underlying space and the regularity estimate of the kernel are missing.

Original language	English
Pages (from-to)	303-331
Number of pages	29
Journal	Taiwanese Journal of Mathematics
Volume	25
Issue number	2
DOIs	https://doi.org/10.11650/tjm/201001
Publication status	Published - Apr 2021
Externally published	Yes

Keywords

Littlewood-Paley inequalities
Square functions

Access to Document

10.11650/tjm/201001

Cite this

@article{a3e1893c30304b0dbd6537a6ea4512ca,

title = "Boundedness of the discrete square function on nondoubling parabolic manifolds with ends",

abstract = "Let M be a nondoubling parabolic manifold with ends. In this study, we will investigate the Lp boundedness of the discrete square function in terms of the Littlewood-Paley decomposition. It should be pointed out that, in our setting, the doubling condition of the underlying space and the regularity estimate of the kernel are missing.",

keywords = "Littlewood-Paley inequalities, Square functions",

author = "Doan, \{Hong Chuong\}",

year = "2021",

month = apr,

doi = "10.11650/tjm/201001",

language = "English",

volume = "25",

pages = "303--331",

journal = "Taiwanese Journal of Mathematics",

issn = "2224-6851",

publisher = "Mathematical Society of the Rep. of China",

number = "2",

}

TY - JOUR

T1 - Boundedness of the discrete square function on nondoubling parabolic manifolds with ends

AU - Doan, Hong Chuong

PY - 2021/4

Y1 - 2021/4

N2 - Let M be a nondoubling parabolic manifold with ends. In this study, we will investigate the Lp boundedness of the discrete square function in terms of the Littlewood-Paley decomposition. It should be pointed out that, in our setting, the doubling condition of the underlying space and the regularity estimate of the kernel are missing.

AB - Let M be a nondoubling parabolic manifold with ends. In this study, we will investigate the Lp boundedness of the discrete square function in terms of the Littlewood-Paley decomposition. It should be pointed out that, in our setting, the doubling condition of the underlying space and the regularity estimate of the kernel are missing.

KW - Littlewood-Paley inequalities

KW - Square functions

UR - https://www.scopus.com/pages/publications/85106993022

U2 - 10.11650/tjm/201001

DO - 10.11650/tjm/201001

M3 - Article

SN - 2224-6851

VL - 25

SP - 303

EP - 331

JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

IS - 2

ER -

Boundedness of the discrete square function on nondoubling parabolic manifolds with ends

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this