Abstract
We prove the L p boundedness of the Marcinkiewicz integral operators μΩ on ℝ n1 × ... × ℝ nk under the condition that Ω∈L(log L) k/2(struck S sign n1-1 × ... × struck S sign nk-1). The exponent k/2 is the best possible. This answers an open question posed in [?].
| Original language | English |
|---|---|
| Pages (from-to) | 227-234 |
| Number of pages | 8 |
| Journal | Studia Mathematica |
| Volume | 167 |
| Issue number | 3 |
| Publication status | Published - 2005 |
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ASJC Scopus subject areas
- Mathematics(all)
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Marcinkiewicz integrals on product spaces. / Al-Qassem, H.; Al-Salman, A.; Cheng, L. C.; Pan, Y.
In: Studia Mathematica, Vol. 167, No. 3, 2005, p. 227-234.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Marcinkiewicz integrals on product spaces
AU - Al-Qassem, H.
AU - Al-Salman, A.
AU - Cheng, L. C.
AU - Pan, Y.
PY - 2005
Y1 - 2005
N2 - We prove the L p boundedness of the Marcinkiewicz integral operators μΩ on ℝ n1 × ... × ℝ nk under the condition that Ω∈L(log L) k/2(struck S sign n1-1 × ... × struck S sign nk-1). The exponent k/2 is the best possible. This answers an open question posed in [?].
AB - We prove the L p boundedness of the Marcinkiewicz integral operators μΩ on ℝ n1 × ... × ℝ nk under the condition that Ω∈L(log L) k/2(struck S sign n1-1 × ... × struck S sign nk-1). The exponent k/2 is the best possible. This answers an open question posed in [?].
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UR - http://www.scopus.com/inward/citedby.url?scp=15844410183&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:15844410183
VL - 167
SP - 227
EP - 234
JO - Studia Mathematica
JF - Studia Mathematica
SN - 0039-3223
IS - 3
ER -