Hp MULTIPLIER RESULTS ON LOCALLY COMPACT VILENKIN GROUPS

1989 ◽  
Vol 40 (3) ◽  
pp. 313-323 ◽  
Author(s):  
C. W. ONNEWEER ◽  
T. S. QUEK
Keyword(s):  
Locally Compact ◽  
Vilenkin Groups

WeightedH p multipliers on locally compact Vilenkin groups

1990 ◽  
Vol 110 (3-4) ◽  
pp. 283-295 ◽  
Author(s):  
Toshiyuki Kitada
Keyword(s):  
Locally Compact ◽  
Vilenkin Groups

scholarly journals The boundedness of multilinear commutators on locally compact Vilenkin groups

2006 ◽  
Vol 4 (3) ◽  
pp. 261-273 ◽  
Author(s):  
Canqin Tang
Keyword(s):  
Integral Operator ◽  
Hardy Spaces ◽  
Fractional Integral ◽  
Fractional Integral Operator ◽  
Vilenkin Group ◽  
Lebesgue Spaces ◽  
Locally Compact ◽  
Vilenkin Groups ◽  
Multilinear Commutators

LetGbe a locally compact Vilenkin group. In this paper, the authors investigate the boundedness of multilinear commutators of fractional integral operator on Lebesgue spaces onG. Furthermore, the boundedness on Hardy spaces are also obtained in this paper.

scholarly journals Multipliers on weighted Hardy spaces over certain totally disconnected groups

1988 ◽  
Vol 11 (4) ◽  
pp. 665-674 ◽  
Author(s):  
Toshiyuki Kitada
Keyword(s):  
Hardy Spaces ◽  
Abelian Groups ◽  
Weighted Hardy Spaces ◽  
Locally Compact ◽  
Vilenkin Groups ◽  
Locally Compact Abelian Groups ◽  
Compact Abelian Groups ◽  
Totally Disconnected ◽  
Suitable Sequence

In this note, we consider the multipliers on weightedH1spaces over totally disconnected locally compact abelian groups with a suitable sequence of open compact subgroups (Vilenkin groups). We first show an(H1,L1)multiplier result from which Onneweer's theorem follows. We also give an(H1,H1)multiplier result under a condition of Baernstein-Sawyer type.

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