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Estimates for Parameter Littlewood-Paley g κ ⁎ Functions on Nonhomogeneous Metric Measure Spaces
Joint Authors
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-04-11
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Let ( X , d , μ ) be a metric measure space which satisfies the geometrically doubling measure and the upper doubling measure conditions.
In this paper, the authors prove that, under the assumption that the kernel of M κ ⁎ satisfies a certain Hörmander-type condition, M κ ⁎ , ρ is bounded from Lebesgue spaces L p ( μ ) to Lebesgue spaces L p ( μ ) for p ≥ 2 and is bounded from L 1 ( μ ) into L 1 , ∞ ( μ ) .
As a corollary, M κ ⁎ , ρ is bounded on L p ( μ ) for 1 < p < 2 .
In addition, the authors also obtain that M κ ⁎ , ρ is bounded from the atomic Hardy space H 1 ( μ ) into the Lebesgue space L 1 ( μ ) .
American Psychological Association (APA)
Lu, Guanghui& Tao, Shuangping. 2016. Estimates for Parameter Littlewood-Paley g κ ⁎ Functions on Nonhomogeneous Metric Measure Spaces. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1108665
Modern Language Association (MLA)
Lu, Guanghui& Tao, Shuangping. Estimates for Parameter Littlewood-Paley g κ ⁎ Functions on Nonhomogeneous Metric Measure Spaces. Journal of Function Spaces No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1108665
American Medical Association (AMA)
Lu, Guanghui& Tao, Shuangping. Estimates for Parameter Littlewood-Paley g κ ⁎ Functions on Nonhomogeneous Metric Measure Spaces. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1108665
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108665