New Weighted Norm Inequalities for Pseudodifferential Operators and Their Commutators

الملخص EN

This paper is dedicated to study weighted Lp inequalities for pseudodifferential operators with amplitudes and their commutators by using the new class of weights Ap∞ and the new BMO function space BMO∞ which are larger than the Muckenhoupt class of weights Ap and classical BMO space BMO, respectively.

The obtained results therefore improve substantially some well-known results.