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On weak type inequalities for rare maximal functions in ℝⁿ

100%

Stokolos A.

Colloquium Mathematicum

2006

tom 104

nr 2

311-315

The study of one-dimensional rare maximal functions was started in [4,5]. The main result in [5] was obtained with the help of some general procedure. The goal of the present article is to adapt the procedure (we call it "dyadic crystallization") to the multidimensional setting and to demonstrate that rare maximal functions have properties not better than the Strong Maximal Function.

On the quantitative Fatou property

63%

Kamaly A., Stokolos A.

Colloquium Mathematicum

2002

tom 91

nr 2

303-311

The result of this article together with [1] and [4] gives a full quantitative description of a Fatou type property for functions from Hardy classes in the upper half plane.

Ograniczanie wyników

2 Colloquium Mathematicum

2 Stokolos A.

1 Kamaly A.

1 2006

1 2002

Wyniki wyszukiwania

On weak type inequalities for rare maximal functions in ℝⁿ

On the quantitative Fatou property