Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions [PDF]
Demonstratio MathematicaWe introduce a novel framework for embedding anisotropic variable exponent Sobolev spaces into spaces of anisotropic variable exponent Hölder-continuous functions within rectangular domains.
Eddine Nabil Chems, Repovš Dušan D.
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Regularity in Orlicz spaces for nondivergence elliptic operators with potentials satisfying a reverse Hölder condition [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 The purpose of this paper is to obtain the global regularity in Orlicz spaces for nondivergence elliptic operators with potentials satisfying a reverse Hölder condition.
Kelei Zhang
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Hölder classes relative to degenerate elliptic operators as interpolation spaces [PDF]
Le Matematiche, 1998 The well known characterization ofHölder classes as interpolation spaces is here extended under suitable hypotheses to a class of spaces wherethe Hölder continuity is given in terms of an intrinsic distance relative to degenerate elliptic operators of ...
Ugo Gianazza, Vincenzo Vespri
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Hölder-type spaces, singular operators, and fixed point theorems [PDF]
, 2021 In this note, we give a sufficient condition for the existence of Hölder-type solutions to a class of fractional initial value problems involving Caputo derivatives.
Sadarangani, Kishin +4 more
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Trigonometric interpolation in Hölder spaces [PDF]
, 1988 This note generalizes estimates in [8] for approximation of periodic functions by Fourier sums and interpolatory polynomials in Hölder spaces.
Prestin, Jürgen
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Generalized Hölder type spaces of harmonic functions in the unit ball and half space [PDF]
, 2020 summary:We study spaces of Hölder type functions harmonic in the unit ball and half space with some smoothness conditions up to the boundary. The first type is the Hölder type space of harmonic functions with prescribed modulus of continuity $\omega ...
Restrepo, Joel Esteban +1 more
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Convergence of Rothe's method in Hölder spaces [PDF]
, 2003 summary:The convergence of Rothe’s method in Hölder spaces is discussed. The obtained results are based on uniform boundedness of Rothe’s approximate solutions in Hölder spaces recently achieved by the first author.
Kikuchi, N., Kačur, J.
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Some characterizations of generalized Hölder spaces [PDF]
, 2012 peer reviewedIn this paper, we show that the main properties of the usual Hölder spaces can be transposed in the setting of the Hölder spaces defined via admissible sequences.
Samuel Nicolay +3 more
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Hardy-Littlewood-Type Theorem for Mixed Fractional Integrals in Hölder Spaces [PDF]
, 2021 We study mixed Riemann-Liouville fractional integration operators and mixed fractional derivative in Marchaud form of function of two variables in Hölder spaces of different orders in each variables.
RanoSabirova +3 more
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Regularity Properties and Lipschitz Spaces Adapted to High-Order Schrödinger Operators
Mathematics, 2022 Let be the high-order Schrödinger operator (−Δ)2+V2, where V is a non-negative potential satisfying the reverse Hölder inequality (RHq), with q>n/2 and n≥5.
Wei Chen, Chao Zhang
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