scholarly journals On composition of maximal operator and Bochner-Riesz operator at the critical index

2020 ◽  
Vol 148 (4) ◽  
pp. 1545-1554
Author(s):  
Saurabh Shrivastava ◽  
Kalachand Shuin
Keyword(s):  
Maximal Operator ◽  
Critical Index ◽  
Riesz Operator

The maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series

2008 ◽  
Vol 45 (3) ◽  
pp. 321-331
Author(s):  
István Blahota ◽  
Ushangi Goginava
Keyword(s):  
Fourier Series ◽  
Hardy Space ◽  
Maximal Operator ◽  
Fejér Means

In this paper we prove that the maximal operator of the Marcinkiewicz-Fejér means of the 2-dimensional Vilenkin-Fourier series is not bounded from the Hardy space H2/3 ( G2 ) to the space L2/3 ( G2 ).

scholarly journals Weighted norm inequalities for a general maximal operator

1988 ◽  
Vol 26 (1-2) ◽  
pp. 327-340 ◽  
Author(s):  
Francisco J. Ruiz ◽  
Jose L. Torrea
Keyword(s):  
Maximal Operator ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities

On The Phase Structure of the Asymmetric Three-State Potts Model

1982 ◽  
Vol 21 ◽  
Author(s):  
G. v. Gehlen
Keyword(s):  
Phase Boundary ◽  
Potts Model ◽  
Phase Structure ◽  
Asymmetry Parameter ◽  
Finite Size ◽  
Critical Index ◽  
Incommensurate Phase ◽  
Finite Size Scaling ◽  
Lifshitz Point ◽  
The Asymmetry

ABSTRACTFinite-size scaling is applied to the Hamiltonian version of the asymmetric Z3-Potts model. Results for the phase boundary of the commensurate region and for the corresponding critical index ν are presented. It is argued that there is no Lifshitz point, the incommensurate phase extending down to small values of the asymmetry parameter.

On the regularity of the Hardy-Littlewood maximal operator on subdomains of ℝn

2010 ◽  
Vol 53 (1) ◽  
pp. 211-237 ◽  
Author(s):  
Hannes Luiro
Keyword(s):  
Maximal Operator ◽  
Littlewood Maximal Operator

AbstractWe establish the continuity of the Hardy-Littlewood maximal operator on W1,p(Ω), where Ω ⊂ ℝn is an arbitrary subdomain and 1 < p < ∞. Moreover, boundedness and continuity of the same operator is proved on the Triebel-Lizorkin spaces Fps,q (Ω) for 1 < p,q < ∞ and 0 < s < 1.

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