scholarly journals Lp estimates for Baouendi–Grushin operators

2020 ◽  
Vol 2 (3) ◽  
pp. 603-625
Author(s):  
Giorgio Metafune ◽  
Luigi Negro ◽  
Chiara Spina
1992 ◽  
Vol 30 (1-2) ◽  
pp. 149-163 ◽  
Author(s):  
Mitsuru Sugimoto

1993 ◽  
Vol 113 (2) ◽  
pp. 329-334 ◽  
Author(s):  
Jesús M. F. Castillo ◽  
Fernando Sánchez

In [11], Partington proved that if λ is a Banach sequence space with a monotone basis having the Banach-Saks property, and (Xn) is a sequence of Banach spaces each having the Banach-Saks property, then the vector sequence space ΣλXn has this same property. In addition, Partington gave an example showing that if λ and each Xn, have the weak Banach-Saks property, then ΣλXn need not have the weak Banach-Saks property.


Author(s):  
Rodrigo Bañuelos ◽  
Tomasz Gałązka ◽  
Adam Osękowski
Keyword(s):  

2020 ◽  
Vol 373 (11) ◽  
pp. 7533-7574
Author(s):  
Gian Maria Dall’Ara ◽  
Alessio Martini

2019 ◽  
Vol 17 (1) ◽  
pp. 1361-1373 ◽  
Author(s):  
Mohammed Ali ◽  
Musa Reyyashi

Abstract This paper is concerned with establishing Lp estimates for a class of maximal operators associated to surfaces of revolution with kernels in Lq(Sn−1 × Sm−1), q > 1. These estimates are used in extrapolation to obtain the Lp boundedness of the maximal operators and the related singular integral operators when their kernels are in the L(logL)κ(Sn−1 × Sm−1) or in the block space $\begin{array}{} B^{0,\kappa-1}_ q \end{array}$(Sn−1 × Sm−1). Our results substantially improve and extend some known results.


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