Multi-Parameter Maximal Operators Associated with Finite Measures and Arbitrary Sets of Parameters

Yaryong Heo

doi:10.1007/s00020-016-2328-8

Multi-Parameter Maximal Operators Associated with Finite Measures and Arbitrary Sets of Parameters

Yaryong Heo

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

2 Citations (Scopus)

Abstract

In this paper we examine various singular maximal operators, extending the class of operators which have been studied extensively in the past. It extends work that has been done in the one-parameter to the multi-parameter setting. We obtain the L^p-boundedness properties of the multi-parameter maximal operators associated with finite measures and arbitrary sets of parameters by assuming some Fourier decay and a certain geometric condition.

Original language	English
Pages (from-to)	185-208
Number of pages	24
Journal	Integral Equations and Operator Theory
Volume	86
Issue number	2
DOIs	https://doi.org/10.1007/s00020-016-2328-8
Publication status	Published - 2016 Oct 1

Bibliographical note

Funding Information:
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology NRF-2015R1A1A1A05001304.

Publisher Copyright:
© 2016, Springer International Publishing.

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

Access to Document

10.1007/s00020-016-2328-8

Cite this

@article{5352820af4244c23bf7c2fde15484ef4,

title = "Multi-Parameter Maximal Operators Associated with Finite Measures and Arbitrary Sets of Parameters",

abstract = "In this paper we examine various singular maximal operators, extending the class of operators which have been studied extensively in the past. It extends work that has been done in the one-parameter to the multi-parameter setting. We obtain the Lp-boundedness properties of the multi-parameter maximal operators associated with finite measures and arbitrary sets of parameters by assuming some Fourier decay and a certain geometric condition.",

author = "Yaryong Heo",

note = "Funding Information: This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology NRF-2015R1A1A1A05001304. Publisher Copyright: {\textcopyright} 2016, Springer International Publishing.",

year = "2016",

month = oct,

day = "1",

doi = "10.1007/s00020-016-2328-8",

language = "English",

volume = "86",

pages = "185--208",

journal = "Integral Equations and Operator Theory",

issn = "0378-620X",

publisher = "Birkhauser Verlag Basel",

number = "2",

}

TY - JOUR

T1 - Multi-Parameter Maximal Operators Associated with Finite Measures and Arbitrary Sets of Parameters

AU - Heo, Yaryong

N1 - Funding Information: This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology NRF-2015R1A1A1A05001304. Publisher Copyright: © 2016, Springer International Publishing.

PY - 2016/10/1

Y1 - 2016/10/1

N2 - In this paper we examine various singular maximal operators, extending the class of operators which have been studied extensively in the past. It extends work that has been done in the one-parameter to the multi-parameter setting. We obtain the Lp-boundedness properties of the multi-parameter maximal operators associated with finite measures and arbitrary sets of parameters by assuming some Fourier decay and a certain geometric condition.

AB - In this paper we examine various singular maximal operators, extending the class of operators which have been studied extensively in the past. It extends work that has been done in the one-parameter to the multi-parameter setting. We obtain the Lp-boundedness properties of the multi-parameter maximal operators associated with finite measures and arbitrary sets of parameters by assuming some Fourier decay and a certain geometric condition.

UR - http://www.scopus.com/inward/record.url?scp=84991316094&partnerID=8YFLogxK

U2 - 10.1007/s00020-016-2328-8

DO - 10.1007/s00020-016-2328-8

M3 - Article

AN - SCOPUS:84991316094

SN - 0378-620X

VL - 86

SP - 185

EP - 208

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 2

ER -

Multi-Parameter Maximal Operators Associated with Finite Measures and Arbitrary Sets of Parameters

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this