Variable Step Mollifiers and Applications
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Date
2020
Volume
92
Issue
6
Journal
Integral equations and operator theory : IEOT
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Book Title
Publisher
Berlin ; Heidelberg : Springer
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Abstract
We consider a mollifying operator with variable step that, in contrast to the standard mollification, is able to preserve the boundary values of functions. We prove boundedness of the operator in all basic Lebesgue, Sobolev and BV spaces as well as corresponding approximation results. The results are then applied to extend recently developed theory concerning the density of convex intersections. © 2020, The Author(s).
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Citation
Hintermüller, M., Papafitsoros, K., & Rautenberg, C. N. (2020). Variable Step Mollifiers and Applications (Berlin ; Heidelberg : Springer). Berlin ; Heidelberg : Springer. https://doi.org//10.1007/s00020-020-02608-2
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License
CC BY 4.0 Unported