(L 1,H)-type estimations for some operators with respect to the Walsh—Paley system

1985 ◽  
Vol 46 (3-4) ◽  
pp. 307-310 ◽  
Author(s):  
P. Simon
Keyword(s):  
Paley System

On Some (H p,q , L p,q )-Type Maximal Inequalities with Respect to the Walsh–Paley System

2000 ◽  
Vol 7 (3) ◽  
pp. 475-488 ◽  
Author(s):  
U. Goginava
Keyword(s):  
Fourier Series ◽  
Lorentz Space ◽  
Positive Cone ◽  
Maximal Operators ◽  
Maximal Inequalities ◽  
Paley System

Abstract The boundedness of Cesáro maximal operators for multiple Walsh–Fourier series is studied from the martingale Hardy–Lorentz space Hpq into the Lorentz space Lpq . Supremum in the maximal operators is taken over a positive cone.

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