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)
Cite this
Al-Qassem, H., Al-Salman, A., Cheng, L. C., & Pan, Y. (2005). Marcinkiewicz integrals on product spaces. Studia Mathematica, 167(3), 227-234.