scholarly journals Lp estimates for Baouendi–Grushin operators

2020 ◽  
Vol 2 (3) ◽  
pp. 603-625
Author(s):  
Giorgio Metafune ◽  
Luigi Negro ◽  
Chiara Spina
Keyword(s):  
Lp Estimates ◽  
Grushin Operators

scholarly journals On some Lp-estimates for hyperbolic equations

1992 ◽  
Vol 30 (1-2) ◽  
pp. 149-163 ◽  
Author(s):  
Mitsuru Sugimoto
Keyword(s):  
Hyperbolic Equations ◽  
Lp Estimates

Upper lp-estimates in vector sequence spaces, with some applications

1993 ◽  
Vol 113 (2) ◽  
pp. 329-334 ◽  
Author(s):  
Jesús M. F. Castillo ◽  
Fernando Sánchez
Keyword(s):  
Banach Spaces ◽  
Sequence Space ◽  
Sequence Spaces ◽  
Vector Sequence ◽  
Lp Estimates ◽  
Banach Sequence Space ◽  
Banach Sequence

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.

scholarly journals A dual approach to Burkholder's Lp estimates

2021 ◽  
Author(s):  
Rodrigo Bañuelos ◽  
Tomasz Gałązka ◽  
Adam Osękowski
Keyword(s):  
Dual Approach ◽  
Lp Estimates

scholarly journals A robust approach to sharp multiplier theorems for Grushin operators

2020 ◽  
Vol 373 (11) ◽  
pp. 7533-7574
Author(s):  
Gian Maria Dall’Ara ◽  
Alessio Martini
Keyword(s):  
Robust Approach ◽  
Grushin Operators ◽  
Multiplier Theorems

scholarly journals Lp estimates for maximal functions along surfaces of revolution on product spaces

2019 ◽  
Vol 17 (1) ◽  
pp. 1361-1373 ◽  
Author(s):  
Mohammed Ali ◽  
Musa Reyyashi
Keyword(s):  
Singular Integral ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Maximal Functions ◽  
Maximal Operators ◽  
Product Spaces ◽  
Surfaces Of Revolution ◽  
Lp Estimates ◽  
Block Space

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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