1. Boundedness of some bilinear operators on variable Herz-type Hardy spaces.
- Author
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Drihem, Douadi and Heraiz, Rabah
- Abstract
This paper is concerned with proving some estimate on variable Herz-type Hardy spaces of bilinear operators B (f , g) (x) = ∑ γ = 1 N T γ 1 f (x) T γ 2 g (x) , x ∈ R n , where N ∈ N , T γ 1 and T γ 2 are operators satisfying certain conditions. More precisely we prove the boundedness of B from H K ˙ p 1 (·) α 1 (·) , q 1 (·) R n × K ˙ p 2 (·) α 2 (·) , q 2 (·) R n into H K ˙ p (·) α (·) , q (·) R n and from H K ˙ p 1 (·) α 1 (·) , q 1 (·) R n × H K ˙ p 2 (·) α 2 (·) , q 2 (·) R n into H K ˙ p (·) α (·) , q (·) R n , with some appropriate assumptions on the parameters α (·) , α i (·) , p (·) , p i (·) , q (·) and q i (·) , i = 1 , 2 . Our results cover the results on Herz-type Hardy spaces with fixed exponents. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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