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New Weighted Norm Inequalities for Pseudodifferential Operators and Their Commutators

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  • The Anh Bui

Abstract

This paper is dedicated to study weighted inequalities for pseudodifferential operators with amplitudes and their commutators by using the new class of weights and the new BMO function space BMO ∞ which are larger than the Muckenhoupt class of weights and classical BMO space BMO, respectively. The obtained results therefore improve substantially some well-known results.

Suggested Citation

  • The Anh Bui, 2013. "New Weighted Norm Inequalities for Pseudodifferential Operators and Their Commutators," International Journal of Analysis, Hindawi, vol. 2013, pages 1-12, January.
    • Handle: RePEc:hin:ijanal:798528
    DOI: 10.1155/2013/798528
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