Displaying similar documents to “On weighted estimates for the Kakeya maximal operator”

Maximal functions and related weight classes.

Carlo Sbordone, Ingemar Wik (1994)

Publicacions Matemàtiques

Similarity:

The famous result of Muckenhoupt on the connection between weights w in A-classes and the boundedness of the maximal operator in L(w) is extended to the case p = ∞ by the introduction of the geometrical maximal operator. Estimates of the norm of the maximal operators are given in terms of the A-constants. The equality of two differently defined A-constants is proved. Thereby an answer is given to a question posed by R. Johnson. For non-increasing functions on the positive real line a...

On weak type inequalities for rare maximal functions in ℝⁿ

A. M. Stokolos (2006)

Colloquium Mathematicae

Similarity:

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.

Equilibrium of maximal monotone operator in a given set

Dariusz Zagrodny (2000)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Similarity:

Sufficient conditions for an equilibrium of maximal monotone operator to be in a given set are provided. This partially answers to a question posed in [10].

Norm inequalities for off-centered maximal operators.

Richard L. Wheeden (1993)

Publicacions Matemàtiques

Similarity:

Sufficient conditions are derived in order that there exist strong-type weighted norm inequalities for some off-centered maximal functions. The maximal functions are of Hardy-Littlewood and fractional types taken over starlike sets in R. The sufficient conditions are close to necessary and extend some previously known weak-type results.

Lectures on maximal monotone operators.

R. R. Phelps (1997)

Extracta Mathematicae

Similarity:

These lectures will focus on those properties of maximal monotone operators which are valid in arbitrary real Banach spaces.