Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: weak type estimates

Sortuj według:

Ogranicz wyniki do:

On the maximal function for rotation invariant measures in $ℝ^{n}$

100%

Vargas A. M.

Studia Mathematica

1994

tom 110

nr 1

9-17

Given a positive measure μ in $ℝ^n$, there is a natural variant of the noncentered Hardy-Littlewood maximal operator $M_{μ}f(x) = sup_{x ∈ B} 1/μ(B) ʃ_{B} |f|dμ$, where the supremum is taken over all balls containing the point x. In this paper we restrict our attention to rotation invariant, strictly positive measures μ in $ℝ^n$. We give some necessary and sufficient conditions for $M_μ$ to be bounded from $L^{1}(dμ)$ to $L^{1,∞}(dμ)$.

Ograniczanie wyników

1 Studia Mathematica

1 Vargas A. M.

1 1994

Wyniki wyszukiwania

On the maximal function for rotation invariant measures in $ℝ^{n}$