real hardy space
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2017 ◽  
Vol 12 (1) ◽  
pp. 235-245 ◽  
Author(s):  
Ha Duy Hung ◽  
Luong Dang Ky ◽  
Thai Thuan Quang

2007 ◽  
Vol 83 (1) ◽  
pp. 79-86 ◽  
Author(s):  
A. K. Lerner ◽  
E. Liflyand

AbstractFor a wide family of multivariate Hausdorff operators, the boundedness of an operator from this family i s proved on the real Hardy space. By this we extend and strengthen previous results due to Andersen and Móricz.


2005 ◽  
Vol 48 (3) ◽  
pp. 370-381 ◽  
Author(s):  
J. E. Daly ◽  
S. Fridli

AbstractIn this paper we consider multipliers on the real Hardy space H2π. It is known that the Marcinkiewicz and the Hörmander–Mihlin conditions are sufficient for the corresponding trigonometric multiplier to be bounded on , 1 < p < ∞. We show among others that the Hörmander– Mihlin condition extends to H2π but the Marcinkiewicz condition does not.


1992 ◽  
Vol 94 (2) ◽  
pp. 175-197 ◽  
Author(s):  
L. Baratchart ◽  
M. Olivi ◽  
F. Wielonsky

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