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Ghorbanalizadeh A, Mikaeili nia M. On the Boundedness of Littlewood-Paley $ g^{*}_{B, lambda}$   operator associated with Bessel differential operator. mmr 2024; 10 (1)
URL: http://mmr.khu.ac.ir/article-1-3233-en.html
On the Boundedness of Littlewood-Paley $ g^{*}_{B, lambda}$   operator associated with Bessel differential operator
Arash Ghorbanalizadeh 1, Monire Mikaeili nia2
1- IASBS , gurbanalizade@gmail.com
2- IASBS
Abstract:   (71 Views)
Classical Littlewood-Paley operators play important role in Harmonic analysis.
One of the classical Littlewood-Paley operators is $g^{*}_{lambda}$  which its (p,p) strong boundedness depends on the parameter $lambda $. For example, Fefferman could show strong boundedness of classical $g^{*}_{lambda}$  for $1$lambda > max{1, 2/p}$.  In this work, We consider the Laplace-Bessel differential operator and correspondingly we define the relevant Littlewood-Paley operator  $g^{*}_{B, lambda}$   to investigate both $L_{p.nu}$-boundedness of $g^{*}_{B, lambda}$   for $2<=p
Keywords: Littlewood-Paley operators $g^{*}_{lambda}$, strong boundedness, Littlewood-Paley operators $g^{*}_{B, lambda}$ associated with Bessel differential operator, unboundedness of $g^{*}_{B, lambda}$
Full-Text [DOCX 197 kb]   (7 Downloads)    
Type of Study: Original Manuscript | Subject: Anal
Received: 2021/09/5 | Revised: 2022/06/6 | Accepted: 2022/06/12 | Published: 2024/01/8 | ePublished: 2024/01/8
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