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On maximal functions

Rendiconti del Seminario Matematico e Fisico di Milano, 1979
We give a new, simpler, version of E. M. Stein’s theorem on the spherical maximal function, and offer a generalisation.
M. Cowling, MAUCERI, GIANCARLO
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Maximality In Function Algebras

Canadian Journal of Mathematics, 1970
In this paper we prove that the proper Dirichlet subalgebras of the disc algebra discovered by Browder and Wermer [1] are maximal subalgebras of the disc algebra (Theorem 2). We also give an extension to general function algebras of a theorem of Rudin [4] on the existence of maximal subalgebras of C(X).
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Maximally Nonlinear Functions and Bent Functions

Designs, Codes and Cryptography, 1999
The topic to which the present paper belongs has earlier been studied in several works of Dobbertin. Let \(GF(2^n)\) be the finite field of size \(2^n\). The mappings (denoted by \(F\)) from \(GF(2^n)\) to itself are studied. A quantity \(L(F)\) is introduced, it serves as a measure of the linearity of \(F\).
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Maximizing Non-Monotone Submodular Functions

48th Annual IEEE Symposium on Foundations of Computer Science (FOCS'07), 2007
Submodular maximization generalizes many important problems including Max Cut in directed and undirected graphs and hypergraphs, certain constraint satisfaction problems, and maximum facility location problems. Unlike the problem of minimizing submodular functions, the problem of maximizing submodular functions is NP-hard.
Uriel Feige   +2 more
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Maximal coefficient functionals on univalent functions

Ukrainian Mathematical Bulletin, 2021
Recently the author presented a new approach to solving the coefficient problems for holomorphic functions based on the features of Bers' fiber spaces for punctured Riemann surfaces. The holomorphy of functionals causes strong rigid constrains. This paper extends the previous results to a broad class of plurisubharmonic coefficient functionals and ...
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Maximal Functions in Sobolev Spaces

2008
Applications of the Hardy-Littlewood maximal functions in the modern theory of partial differential equations are considered. In particular, we discuss the behavior of maximal functions in Sobolev spaces, Hardy in- equalities, and approximation and pointwise behavior of Sobolev functions.
Aalto Daniel, Kinnunen Juha
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Maximizing independent function.

Rehab management, 2010
In summary, the positioning and seating requirements for patients with SCI and TBI are a highly specialized and complex process. In order for patients to achieve the goals of maximizing independent function, experiencing the highest quality of life possible, and preventing costly complications, they need customized and durable equipment for their ...
Kenneth R, Hosack   +3 more
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