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An embedding relation for bounded mean oscillation on rectangles

100%

Sehba B.

Annales Polonici Mathematici

2014

tom 112

nr 3

287-299

In the two-parameter setting, we say a function belongs to the mean little BMO if its mean over any interval and with respect to any of the two variables has uniformly bounded mean oscillation. This space has been recently introduced by S. Pott and the present author in relation to the multiplier algebra of the product BMO of Chang-Fefferman. We prove that the Cotlar-Sadosky space $bmo(𝕋^{N})$ of functions of bounded mean oscillation is a strict subspace of the mean little BMO.

Maximal function and Carleson measures in the theory of Békollé-Bonami weights

63%

Kenfack C., Sehba B.

Colloquium Mathematicum

2016

tom 142

nr 2

211-226

Let ω be a Békollé-Bonami weight. We give a complete characterization of the positive measures μ such that $∫_{𝓗} |M_{ω}f(z)|^{q} dμ(z) ≤ C(∫_{𝓗} |f(z)|^{p} ω(z)dV(z))^{q/p}$ and $μ({z ∈ 𝓗 : Mf(z) > λ}) ≤ C/(λ^{q})(∫_{𝓗} |f(z)|^{p} ω(z)dV(z))^{q/p}$, where $M_{ω}$ is the weighted Hardy-Littlewood maximal function on the upper half-plane 𝓗 and 1 ≤ p,q <; ∞.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

2 Sehba B.

1 Kenfack C.

1 2016

1 2014

Wyniki wyszukiwania

An embedding relation for bounded mean oscillation on rectangles

Maximal function and Carleson measures in the theory of Békollé-Bonami weights