参数型Littlewood-Paley算子在带非双倍测度Morrey空间上的有界性(英文)

李铁; 江寅生; 周疆

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参数型Littlewood-Paley算子在带非双倍测度Morrey空间上的有界性(英文)

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- 参数型Littlewood-Paley算子在带非双倍测度Morrey空间上的有界性(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 31, Issue 1, Pages: 52-56(2014)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O177
- Published：2014
- 稿件说明：
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[1]李铁,江寅生,周疆.参数型Littlewood-Paley算子在带非双倍测度Morrey空间上的有界性(英文)[J].新疆大学学报(自然科学版),2014,31(01):52-56.

李铁, 江寅生, 周疆. 参数型Littlewood-Paley算子在带非双倍测度Morrey空间上的有界性(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2014, 31(1): 52-56.
[1]李铁,江寅生,周疆.参数型Littlewood-Paley算子在带非双倍测度Morrey空间上的有界性(英文)[J].新疆大学学报(自然科学版),2014,31(01):52-56. DOI：

李铁, 江寅生, 周疆. 参数型Littlewood-Paley算子在带非双倍测度Morrey空间上的有界性(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2014, 31(1): 52-56. DOI：

摘要

假定μ是仅满足一个增长条件的Radon测度

即存在一个正常数C使得对所有的x∈Rd

r>0以及对某个固定的n∈(0

d]都成立μ(B(x

r))≤Crn.对适当的参数ρ和λ

证明了参数型g*λ函数M*

ρλ和参数型Marcinkiewicz积分Mρ在Morrey空间Mp q(k

μ)上是有界的.

Abstract

Let μ be a non-negative Radon measure on Rdwhich only satisfies the following growth condition that there exists a positive constant C such that μ(B(x

r)) ≤ Crnfor all x ∈ Rd

r > 0 and some fixed n ∈(0

d].We will prove that for suitable indexes ρ and λ the parametrized g?λfunction M?

ρλand Mρare bounded on Mpq(k

μ) spaces.

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references

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