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A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions
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نویسنده
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gong s. ,ma b. ,fu z.
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منبع
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journal of function spaces - 2015 - دوره : 2015 - شماره : 0
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چکیده
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We study the properties of the triebel-lizorkin spaces associated with the multidimensional hermite expansions on rd (d≥1). in addition to the endpoint estimates,we give the continuous characterizations of these spaces via harmonic and thermic extensions from rd into r+d+1. based on this result,we obtain the boundedness of riesz transform associated with the hermite expansions. © 2015 shuli gong et al.
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آدرس
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department of mathematics,linyi university,linyi, China, college of mathematics physics and information engineering,jiaxing university,jiaxing, China, department of mathematics,linyi university,linyi, China
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Authors
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