Photo from wikipedia
Abstract In this paper we are going to prove that the Hardy-Litllewood maximal operators on variable Lebesgue spaces L p(·)(µ) with respect to a probability Borel measure µ, are weak… Click to show full abstract
Abstract In this paper we are going to prove that the Hardy-Litllewood maximal operators on variable Lebesgue spaces L p(·)(µ) with respect to a probability Borel measure µ, are weak type and strong type for two conditions of regularity on the exponent function p(·); following [2] and [3]. Also following [2] we extend some important properties of this operator to a probability Borel measure µ, the key to extend these results is using the Besicovitch covering lemma instead of the Calderón-Zygmund decomposition.
Keywords:
respect probability;
spaces respect;
variable lebesgue;
lebesgue spaces;
probability;
measure
Journal Title: Quaestiones Mathematicae
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Quaestiones Mathematicae
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!