𝒬K Spaces of Several Real Variables

We introduce a new space, 𝒬K(ℝn) space, of several real variables with nondecreasing functions K. By giving basic properties of the weighted function K, by establishing a Stegenga-type estimate, and by introducing the K-Carleson measure on ℝ+n+1, we obtain various characterizations of 𝒬K(ℝn) space....

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Main Authors: Guanlong Bao, Hasi Wulan
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/931937
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author Guanlong Bao
Hasi Wulan
author_facet Guanlong Bao
Hasi Wulan
author_sort Guanlong Bao
collection DOAJ
description We introduce a new space, 𝒬K(ℝn) space, of several real variables with nondecreasing functions K. By giving basic properties of the weighted function K, by establishing a Stegenga-type estimate, and by introducing the K-Carleson measure on ℝ+n+1, we obtain various characterizations of 𝒬K(ℝn) space.
format Article
id doaj-art-436ee592583543c5be03e4016bbb049e
institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-436ee592583543c5be03e4016bbb049e2025-08-20T03:35:57ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/931937931937𝒬K Spaces of Several Real VariablesGuanlong Bao0Hasi Wulan1Department of Mathematics, Shantou University, Shantou 515063, ChinaDepartment of Mathematics, Shantou University, Shantou 515063, ChinaWe introduce a new space, 𝒬K(ℝn) space, of several real variables with nondecreasing functions K. By giving basic properties of the weighted function K, by establishing a Stegenga-type estimate, and by introducing the K-Carleson measure on ℝ+n+1, we obtain various characterizations of 𝒬K(ℝn) space.http://dx.doi.org/10.1155/2014/931937
spellingShingle Guanlong Bao
Hasi Wulan
𝒬K Spaces of Several Real Variables
Abstract and Applied Analysis
title 𝒬K Spaces of Several Real Variables
title_full 𝒬K Spaces of Several Real Variables
title_fullStr 𝒬K Spaces of Several Real Variables
title_full_unstemmed 𝒬K Spaces of Several Real Variables
title_short 𝒬K Spaces of Several Real Variables
title_sort 𝒬k spaces of several real variables
url http://dx.doi.org/10.1155/2014/931937
work_keys_str_mv AT guanlongbao qkspacesofseveralrealvariables
AT hasiwulan qkspacesofseveralrealvariables