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Zbl 1022.42011
Long, Shunchao; Wang, Jian
Commutators of Hardy operators. (English)
[J] J. Math. Anal. Appl. 274, No.2, 626-644 (2002). ISSN 0022-247X

Hardy's integral inequalities for commutators generating Hardy operators and fractional order Hardy operators with onesided dyadic central mean oscillation functions are established.
[James Adedayo Oguntuase (Abeokuta)]
MSC 2000:
*42B25 Maximal functions
26D10 Inequalities involving derivatives, diff. and integral operators
42B30 Hp-spaces (Fourier analysis)
47B38 Operators on function spaces
47B47 Derivations and linear operators defined by algebraic conditions

Keywords: Hardy's integral inequality; Hardy operator; commutator; CMO; onesided CMO; dyadic CMO; fractional order Hardy operators

Cited in: Zbl 1202.42031 Zbl 1125.26016 Zbl 1054.46022

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