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Absolutely convergent multiple fourier series and multiplicative Lipschitz classes of functions
Acta Mathematica Hungarica, 2008Ferenc Mòricz, Mòricz Ferenc
exaly
Lipschitz Continuity and Interpolation Properties of Some Classes of Increasing Functions
Optimization, 2002exaly
Quantitative Hahn-Banach Theorems and Isometric Extensions forWavelet and Other Banach Spaces
Axioms, 2013 We introduce and study Clarkson, Dol’nikov-Pichugov, Jacobi and mutual diameter constants reflecting the geometry of a Banach space and Clarkson, Jacobi and Pichugov classes of Banach spaces and their relations with James, self-Jung, Kottman and Schäffer
Sergey Ajiev
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Phelps type duality results in best approximation
Journal of Numerical Analysis and Approximation Theory, 2002 The aim of the present paper is to show that many Phelps type duality result, relating the extension properties of various classes of functions (continuous, linear continuous, bounded bilinear, Hölder-Lipschitz) with the approximation properties ...
Ştefan Cobzaş
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Exotic cyclic cohomology classes and Lipschitz algebras
, 2023 We study the noncommutative geometry of algebras of Lipschitz continuous and Hölder continuous functions, where nonclassical and novel differential geometric invariants arise.
Goffeng, Magnus, +2 more
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An approach to elliptic equations with nonlinear gradient terms via a modulation framework
Bulletin of Mathematical Sciences, 2023 We consider a class of nonhomogeneous elliptic equations with fractional Laplacian and nonlinear gradient terms, namely [Formula: see text] in [Formula: see text], where [Formula: see text], [Formula: see text] is the nonlinearity, [Formula: see text ...
Lucas C. F. Ferreira, Wender S. Lagoin
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Generalized Differentiability of Continuous Functions
Fractal and Fractional, 2020 Many physical phenomena give rise to mathematical models in terms of fractal, non-differentiable functions. The paper introduces a broad generalization of the derivative in terms of the maximal modulus of continuity of the primitive function.
Dimiter Prodanov
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Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds [PDF]
, 2018 In this paper we extend classical Titchmarsh theorems on the Fourier transform of Hölder–Lipschitz functions to the setting of compact homogeneous manifolds.
DELGADO VALENCIA, JC +5 more
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