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A note on the strong maximal operator on ℝⁿ

100%

Chen J., Zhu X.

Studia Mathematica

2004

tom 165

nr 3

291-294

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) $M_S(g) ∈ L¹(E)$ for any measurable set E of finite measure.

The method of rotation and Marcinkiewicz integrals on product domains

81%

Chen J., Fan D., Ying Y.

Studia Mathematica

2002

tom 153

nr 1

41-58

We give some rather weak sufficient condition for $L^{p}$ boundedness of the Marcinkiewicz integral operator $μ_{Ω}$ on the product spaces $ℝⁿ × ℝ^{m}$ (1 < p < ∞), which improves and extends some known results.

Ograniczanie wyników

2 Studia Mathematica

2 Chen J.

1 Fan D.

1 Ying Y.

1 Zhu X.

1 2004

1 2002

Wyniki wyszukiwania

A note on the strong maximal operator on ℝⁿ

The method of rotation and Marcinkiewicz integrals on product domains