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On Hausdorff content maximal operator and Riesz potential for non-measurable functions
by
Hurri-Syrjänen, Ritva
, Harjulehto, Petteri
in
Analysis
/ Applications of Mathematics
/ Choquet integral
/ Hausdorff capacity
/ Hausdorff content
/ Integrals
/ Mathematics
/ Mathematics and Statistics
/ Maximal operator
/ Non-measurable function
/ Operators (mathematics)
/ Riesz potential
2026
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On Hausdorff content maximal operator and Riesz potential for non-measurable functions
by
Hurri-Syrjänen, Ritva
, Harjulehto, Petteri
in
Analysis
/ Applications of Mathematics
/ Choquet integral
/ Hausdorff capacity
/ Hausdorff content
/ Integrals
/ Mathematics
/ Mathematics and Statistics
/ Maximal operator
/ Non-measurable function
/ Operators (mathematics)
/ Riesz potential
2026
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Do you wish to request the book?
On Hausdorff content maximal operator and Riesz potential for non-measurable functions
by
Hurri-Syrjänen, Ritva
, Harjulehto, Petteri
in
Analysis
/ Applications of Mathematics
/ Choquet integral
/ Hausdorff capacity
/ Hausdorff content
/ Integrals
/ Mathematics
/ Mathematics and Statistics
/ Maximal operator
/ Non-measurable function
/ Operators (mathematics)
/ Riesz potential
2026
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On Hausdorff content maximal operator and Riesz potential for non-measurable functions
Journal Article
On Hausdorff content maximal operator and Riesz potential for non-measurable functions
2026
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Overview
We introduce Riesz potentials for Lebesgue non-measurable functions by taking the integrals in the sense of Choquet with respect to Hausdorff content and prove boundedness results for these operators. Some earlier results are recovered or extended now using integrals taken in the sense of Choquet with respect to Hausdorff content. Some earlier results also for maximal operators are considered, but now for Lebesgue non-measurable functions.
Publisher
Springer International Publishing,Springer Nature B.V,SpringerOpen
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