Endpoint estimates for bilinear pseudodifferential operators with symbol in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>B</mml:mi><mml:msubsup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msubsup></mml:math>

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چکیده

In this paper we establish some endpoint estimates for bilinear pseudodifferential operators with symbol in the class BS1,1m, involving space of functions local bounded mean oscillation bmo(Rn). As a consequence also obtain an estimate Kato-Ponce type.

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2022

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2022.126453