Some endpoint estimates for bilinear paraproducts and applications

2014/06/06 by Rodríguez-López, Salvador, Staubach, Wolfgang
#35S30 #35S50 #42B20 #42B25 #42B35 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35S05 #Secondary 42B15

paper · doi:10.48550/arxiv.1406.1663

Abstract

In this paper we establish the boundedness of bilinear paraproducts on local BMO spaces. As applications, we also investigate the boundedness of bilinear Fourier integral operators and bilinear Coifman-Meyer multipliers on these spaces and also obtain a certain end-point result concerning Kato-Ponce type estimates.

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