Some endpoint estimates for bilinear Coifman-Meyer multipliers

• In this paper we establish mapping properties of bilinear Coifman-Meyer multipliers acting on the product spaces H-1 (R-n) x bmo(R-n) and L-p (R-n) x bmo(R-n), with 1 < p < infinity. As application of these results, we obtain some related Kato-Poncetype inequalities involving the endpoint space bmo(R-n), and we also study the pointwise product of a function in bmo(R-n) with functions in H-1 (R-n), h(1) (R-n) and L-p(R-n), with 1 < p < infinity.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Bilinear multipliers

Local bmo

Bilinear paraproducts

Kato-Ponce inequalities

Product of functions

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ref (ämneskategori)

art (ämneskategori)