In:
Abstract and Applied Analysis, Hindawi Limited, Vol. 2012 ( 2012), p. 1-18
Abstract:
We introduce certain type of weighted variant of Riemann-Liouville fractional integral on ℝ n and obtain its sharp bounds on the central Morrey and λ -central BMO spaces. Moreover, we establish a sufficient and necessary condition of the weight functions so that commutators of weighted Hardy operators (with symbols in λ -central BMO space) are bounded on the central Morrey spaces. These results are further used to prove sharp estimates of some inequalities due to Weyl and Cesàro.
Type of Medium:
Online Resource
ISSN:
1085-3375
,
1687-0409
Language:
English
Publisher:
Hindawi Limited
Publication Date:
2012
detail.hit.zdb_id:
2064801-7
SSG:
17,1
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