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Maximal function inequalities and a theorem of Birch
Israel Journal of Mathematics, 2017In this paper we prove an analogue of the discrete spherical maximal theorem of Magyar, Stein and Wainger, an analogue which concerns maximal functions associated to homogenous algebraic hypersurfaces. Let p be a homogenous polynomial in n variables with
Brian Cook
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Fractional maximal function and its commutators on Orlicz spaces
, 2018In this paper, we find necessary and sufficient conditions for the boundedness of fractional maximal operator $$M_{\alpha }$$Mα on Orlicz spaces. As an application of this results we consider the boundedness of fractional maximal commutator $$M_{b,\alpha
V. Guliyev, F. Deringoz, S. G. Hasanov
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Maximality In Function Algebras
Canadian Journal of Mathematics, 1970In 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, 1999The 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), 2007Submodular 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, 2021Recently 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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The Hardy-Littlewood maximal function, Choquet integrals, and embeddings of Sobolev type
Mathematische Annalen, 2021K. H. Ooi, N. Phuc
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Maximal Functions in Sobolev Spaces
2008Applications 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, 2010In 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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