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Maximal Operators and Cantor Sets

Canadian Mathematical Bulletin, 2000
AbstractWe consider maximal operators in the plane, defined by Cantor sets of directions, and show such operators are not bounded on L2 if the Cantor set has positive Hausdorff dimension.
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Regular Maximal Monotone Operators

Set-Valued Analysis, 1998
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Verona, Andrei, Verona, Maria E.
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A Characterization of Maximal Monotone Operators

Set-Valued Analysis, 2007
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Subspaces of Maximal Operator Spaces

Integral Equations and Operator Theory, 2004
Recall that an operator space \(X\) is maximal if for any arbitrary operator space \(Y\), every bounded linear map \(u: X \to Y\) is automatically completely bounded with \(\| u\| _{cb}=\| u\| \). For any given Banach space \(X\), there is a unique maximal operator space whose underlying Banach space is \(X\).
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Commutators of Fractional Maximal Operator on Orlicz Spaces

Mathematical Notes, 2018
V. Guliyev, F. Deringoz, S. G. Hasanov
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Commutators of fractional maximal operator on generalized Orlicz–Morrey spaces

Positivity (Dordrecht), 2017
F. Deringoz, V. Guliyev, S. G. Hasanov
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Maximal Operator

2016
René Erlín Castillo, Humberto Rafeiro
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