In:
Forum Mathematicum, Walter de Gruyter GmbH, Vol. 27, No. 5 ( 2015-9-1), p. 3079-3109
Abstract:
In this paper, we discussed about the boundedness of the
fractional type Marcinkiewicz integral operators, and improved a result given by Chen, Fan and Ying in 2002. They showed that
under certain conditions the fractional type Marcinkiewicz integral operators are bounded from the Triebel–Lizorkin spaces F ˙ p q α ( ℝ n ) ${\dot{F}_{pq}^{\alpha }({\mathbb {R}^n})}$ to L p ( ℝ n ) ${L^p({\mathbb {R}^n})}$ . We greatly weakened their assumptions and extended their results
to a pretty much more general way.
Type of Medium:
Online Resource
ISSN:
0933-7741
,
1435-5337
DOI:
10.1515/forum-2013-0200
Language:
English
Publisher:
Walter de Gruyter GmbH
Publication Date:
2015
detail.hit.zdb_id:
2006069-5
detail.hit.zdb_id:
2180426-6
SSG:
17,1
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