3 papers
math.FA2024
Boundedness properties of modified averaging operators and geometrically doubling metric spaces
J. M. Aldaz, A. Caldera
We characterize the geometrically doubling condition of a metric space in terms of the uniform -boundedness of superaveraging operators, where uniform refers to the existence…
math.FA2024
Boundedness of some convolution-type operators on metric measure spaces
J. M. Aldaz
We explore boundedness properties in the context of metric measure spaces, of some natural operators of convolution type whose study is suggested by certain transformations used in…
math.CA2017
Boundedness of averaging operators on geometrically doubling metric spaces
J. M. Aldaz
We prove that averaging operators are uniformly bounded on for all geometrically doubling metric measure spaces, with bounds independent of the measure. From this result, the…