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Let ɣ and Φ1 be nondecreasing and nonnegative functions defined on [0, ∞), and Φ2 is an N -function, u, v and w are weights. A unified version of weighted… Click to show full abstract
Let ɣ and Φ1 be nondecreasing and nonnegative functions defined on [0, ∞), and Φ2 is an N -function, u, v and w are weights. A unified version of weighted weak type inequality of the formfor martingale maximal operators f ∗ is considered, some necessary and su@cient conditions for it to hold are shown. In addition, we give a complete characterization of three-weight weak type maximal inequality of martingales. Our results generalize some known results on weighted theory of martingale maximal operators.
Keywords:
weak type;
unified version;
inequality;
martingale maximal;
maximal operators
Journal Title: Studia Scientiarum Mathematicarum Hungarica
Year Published: 2021
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Journal Title: Studia Scientiarum Mathematicarum Hungarica
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!