A note on the strong maximal operator on ℝⁿ
We prove that for f ∈ L ln⁺L(ℝⁿ) with compact support, there is a g ∈ L ln⁺L(ℝⁿ) such that (a) g and f are equidistributed, (b) for any measurable set E of finite measure.
Optimal boundedness of central oscillating multipliers on compact Lie groups
Fefferman-Stein, Wainger and Sjölin proved optimal boundedness for certain oscillating multipliers on . In this article, we prove an analogue of their result on a compact Lie group.
The method of rotation and Marcinkiewicz integrals on product domains
We give some rather weak sufficient condition for boundedness of the Marcinkiewicz integral operator on the product spaces (1 < p < ∞), which improves and extends some known results.
A kind of estimate of difference norms in anisotropic weighted Sobolev-Lorentz spaces.
The Cauchy integral operator on the predual of a Morrey space.
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