scholarly journals Discrete harmonic analysis associated with Jacobi expansions I: The heat semigroup

2020 ◽  
Vol 490 (2) ◽  
pp. 123996
Author(s):  
Alberto Arenas ◽  
Óscar Ciaurri ◽  
Edgar Labarga
Keyword(s):  
Harmonic Analysis ◽  
Heat Semigroup ◽  
Jacobi Expansions

scholarly journals Maximal functions for Weinstein operator

2020 ◽  
Vol 19 (1) ◽  
pp. 105-119
Author(s):  
Chokri Abdelkefi
Keyword(s):  
Characteristic Function ◽  
Harmonic Analysis ◽  
Large Class ◽  
Half Space ◽  
Maximal Function ◽  
Maximal Operator ◽  
Weak Type ◽  
Closed Ball ◽  
Heat Semigroup ◽  
Poisson Semigroup

AbstractIn the present paper, we study in the harmonic analysis associated to the Weinstein operator, the boundedness on Lp of the uncentered maximal function. First, we establish estimates for the Weinstein translation of characteristic function of a closed ball with radius ɛ centered at 0 on the upper half space ℝd–1× ]0, +∞ [. Second, we prove weak-type L1-estimates for the uncentered maximal function associated with the Weinstein operator and we obtain the Lp-boundedness of this operator for 1 < p ≤ + ∞. As application, we define a large class of operators such that each operator of this class satisfies these Lp-inequalities. In particular, the maximal operator associated respectively with the Weinstein heat semigroup and the Weinstein-Poisson semigroup belong to this class.

scholarly journals Harmonic analysis operators associated with multidimensional Bessel operators

2012 ◽  
Vol 142 (5) ◽  
pp. 945-974 ◽  
Author(s):  
Jorge J. Betancor ◽  
Alejandro J. Castro ◽  
Jezabel Curbelo
Keyword(s):  
Harmonic Analysis ◽  
Maximal Operator ◽  
Weak Type ◽  
Riesz Transforms ◽  
Heat Semigroup ◽  
Strong Type ◽  
Bessel Operators

We establish that the maximal operator and the Littlewood–Paley g-function associated with the heat semigroup defined by multidimensional Bessel operators are of weak type (1, 1). We also prove that Riesz transforms in the multidimensional Bessel setting are of strong type (p, p), for every 1 < p < ∞, and of weak type (1, 1).

Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

2009 ◽  
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Fabio Scarabotti ◽  
Filippo Tolli
Keyword(s):  
Representation Theory ◽  
Harmonic Analysis ◽  
Finite Groups ◽  
Wreath Products

Classical and Multilinear Harmonic Analysis

2009 ◽  
Author(s):  
Camil Muscalu ◽  
Wilhelm Schlag
Keyword(s):  
Harmonic Analysis
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