Directional Multifractal Analysis in the Lp Setting

The classical Hölder regularity is restricted to locally bounded functions and takes only positive values. The local Lp regularity covers unbounded functions and negative values. Nevertheless, it has the same apparent regularity in all directions. In the present work, we study a recent notion of dir...

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Bibliographic Details
Main Authors: Mourad Ben Slimane, Ines Ben Omrane, Moez Ben Abid, Borhen Halouani, Farouq Alshormani
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2019/1691903