Quantitative Hahn-Banach Theorems and Isometric Extensions forWavelet and Other Banach Spaces [PDF]
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 [PDF]
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 [PDF]
, 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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Normal Families and Quasiregular Mappings [PDF]
, 2023 Beardon and Minda gave a characterization of normal families of holomorphic and meromorphic functions in terms of a locally uniform Lipschitz condition.
Alastair N. Fletcher +3 more
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Operator Hölder–Zygmund functions [PDF]
, 2010 It is well known that a Lipschitz function on the real line does not have to be operator Lipschitz. We show that the situation changes dramatically if we pass to Hölder classes.
Aleksandrov, A.B., Peller, V.V.
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Aspects of Hadamard well-posedness for classes of non-Lipschitz semilinear parabolic partial differential equations [PDF]
, 2016 We study classical solutions of the Cauchy problem for a class of non-Lipschitz semilinear parabolic partial differential equations in one spatial dimension with sufficiently smooth initial data.
Needham, D. J., Meyer, J. C.
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Lipschitz spaces adapted to Schrödinger operators and regularity properties [PDF]
, 2021 Consider the Schrödinger operator L= - Δ + V in Rn, n≥ 3 , where V is a nonnegative potential satisfying a reverse Hölder condition of the type (1|B|∫BV(y)qdy)1/q ≤C|B|∫BV(y)dy, for some q > n/2.
Torrea Hernández, José Luis +1 more
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