منابع مشابه
Bilinear Paraproducts Revisited
Boundedness properties for bilinear paraproducts on several function spaces are presented. The methods are based on the realization of paraproducts as bilinear Calderón-Zygmund operators and the molecular characterization of function spaces. This provides a unified approach for the study of paraproducts, recovering some know results and establishing several new.
متن کاملMultilinear Paraproducts Revisited
We prove that mutlilinear paraproducts are bounded from products of Lebesgue spaces L1 ×· · ·×Lm+1 to Lp,∞, when 1 ≤ p1, . . . , pm+1 <∞, 1/p1+· · ·+1/pm+1 = 1/p. We focus on the endpoint case when some indices pj are equal to 1, in particular we obtain the new endpoint estimate L× · · · ×L → L1/(m+1),∞. In memory of Nigel Kalton
متن کاملWeighted Norm Inequalities for Paraproducts and Bilinear Pseudodifferential Operators with Mild Regularity
We establish boundedness properties on products of weighted Lebesgue, Hardy, and amalgam spaces of certain paraproducts and bilinear pseudodifferential operators with mild regularity. We do so by showing that these operators can be realized as generalized bilinear Calderón-Zygmund operators. 1. Bilinear pseudodifferential operators with mild regularity Let us motivate our main result on bilinea...
متن کاملUnbounded ABE via Bilinear Entropy Expansion, Revisited
We present simpler and improved constructions of unbounded attribute-based encryption (ABE) schemeswith constant-size public parameters under static assumptions in bilinear groups. Concretely, we obtain: – a simple and adaptively secure unbounded ABE scheme in composite-order groups, improving upon a previousconstruction of Lewko and Waters (Eurocrypt ’11) which only achieves selective ...
متن کاملUniform Estimates on Paraproducts
We prove uniform L estimates (Theorem 1.1) for a family of paraproducts and corresponding maximal operators.
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2010
ISSN: 0025-584X
DOI: 10.1002/mana.200710157