2015 Volume 67 Issue 2 Pages 535-559
Let m ≥ 2 and define the multilinear Littlewood–Paley g-function by
In this paper, we establish the strong Lp1(w1) × ⋯ × Lpm(wm) to Lp(ν\vec{ω}) boundedness and weak type Lp1(w1) × ⋯ × Lpm(wm) to Lp,∞(ν\vec{ω}) estimate for the multilinear g-function. The weighted strong and end-point estimates for the iterated commutators of g-function are also given. Here ν\vec{ω} = ∏mi=1ωp/pii and each wi is a nonnegative function on ℝn.
This article cannot obtain the latest cited-by information.
Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series
Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
Tokyo Sugaku-Butsurigakkwai Hokoku
Tokyo Sugaku-Butsurigaku Kwai Kiji
