scholarly journals On weighted weak type inequalities for modified Hardy operators

1998 ◽  
Vol 126 (6) ◽  
pp. 1739-1746 ◽  
Author(s):  
F. J. Martín-Reyes ◽  
P. Ortega
Keyword(s):  
Weak Type ◽  
Hardy Operators

scholarly journals Weighted weak-type inequalities for generalized Hardy operators

2006 ◽  
Vol 2006 ◽  
pp. 1-10
Author(s):  
A. L. Bernardis ◽  
F. J. Martín-Reyes ◽  
P. Ortega Salvador
Keyword(s):  
Weak Type ◽  
Hardy Operators

Hardy operators on weighted amalgams

2010 ◽  
Vol 140 (1) ◽  
pp. 175-188 ◽  
Author(s):  
Pedro Ortega Salvador ◽  
Consuelo Ramírez Torreblanca
Keyword(s):  
Weak Type ◽  
Hardy Operator ◽  
Hardy Operators

We characterize the boundedness of the Hardy operator between weighted amalgams, a problem studied, but not completely solved, by C. Carton-Lebrun, H. P. Heinig and S. C. Hofmann. We also characterize the weighted weak-type inequalities for modified Hardy operators on amalgams.

Two-weight weak-type maximal inequalities for martingales

2009 ◽  
Vol 29 (2) ◽  
pp. 402-408 ◽  
Author(s):  
Ren Yanbo ◽  
Hou Youliang
Keyword(s):  
Weak Type ◽  
Maximal Inequalities

scholarly journals A note on a space Hp, a of holomorphic functions

1987 ◽  
Vol 35 (3) ◽  
pp. 471-479
Author(s):  
H. O. Kim ◽  
S. M. Kim ◽  
E. G. Kwon
Keyword(s):  
Hardy Space ◽  
Complex Plane ◽  
Unit Disc ◽  
Weak Type ◽  
Holomorphic Functions ◽  
Embedding Theorem ◽  
Type Operator ◽  
Taylor Coefficients ◽  
Bounded Holomorphic

For 0 < p < ∞ and 0 ≤a; ≤ 1, we define a space Hp, a of holomorphic functions on the unit disc of the complex plane, for which Hp, 0 = H∞, the space of all bounded holomorphic functions, and Hp, 1 = Hp, the usual Hardy space. We introduce a weak type operator whose boundedness extends the well-known Hardy-Littlewood embedding theorem to Hp, a, give some results on the Taylor coefficients of the functions of Hp, a and show by an example that the inner factor cannot be divisible in Hp, a.

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