Variational inequalities for the commutators of rough operators with BMO functions
نویسندگان
چکیده
Starting with the relatively simple observation that variational estimates of commutators standard Calderón-Zygmund operators bounded mean oscillation (BMO) functions can be obtained from their weighted estimates, we establish similar for BMO rough singular integrals, which do not admit any estimates. The proof involves several Littlewood-Paley-type inequalities as well Bony decomposition and related para-product
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Article history: Received 25 July 2008 Accepted 16 December 2008 Available online 30 January 2009 Submitted by R.A. Brualdi AMS classification: 47A30 47A63 47B10 47B15 47B47
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ژورنال
عنوان ژورنال: Science China-mathematics
سال: 2021
ISSN: ['1674-7283', '1869-1862']
DOI: https://doi.org/10.1007/s11425-019-1713-x