Weighted norm inequalities for pseudo-differential operators and their commutators

Details Weighted norm inequalities for pseudo-differential operators and their commutators Weighted norm inequalities for pseudo-differential operators and their commutators

2012-02-22

arxiv.org/abs/1202.5055v2

Mathematics

Classical Analysis and ODEs

correct some errors in the first version

Scientific paper

This paper is dedicated to study weighted $L^p$ inequalities for pseudo-differential operators with amplitudes and their commutators by using the new class of weights $A_p^\vc$ and the new BMO function space BMO$_\vc$ which are larger than the Muckenhoupt class of weights $A_p$ and classical BMO space BMO, respectively. The obtained results therefore improve substantially some well-known results.

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