Results 241 to 250 of about 5,328,680 (285)

Degree of convergence of a function of several variables in generalized Hölder spaces

Mathematical methods in the applied sciences, 2023
In this paper, we obtain degree of convergence of a function of two‐dimensional variables in generalized Hölder spaces by matrix means of its conjugate Fourier series.
H. K. Nigam, H. M. Srivastava, Swagata Nandy   +2 more
semanticscholar   +1 more source

Maximal operator in Hölder spaces

Manuscripta mathematica, 2023
We study the maximal operator on the variable exponent Hölder spaces in the setting of metric measure spaces. The boundedness is proven for metric measure spaces satisfying an annular decay property.
P. M. Bies, M. Gaczkowski, Przemyslaw G'orka   +2 more
semanticscholar   +1 more source

Uniform convergence of Nyström discretization on Hölder spaces

Journal of Integral Equations and Applications, 2022
We establish that Nyström discretizations of linear Fredholm integral operators on Hölder spaces converge in the operator norm while preserving the consistency order of the quadrature or cubature rule.
C. Pötzsche
semanticscholar   +1 more source

Generalized Gagliardo–Nirenberg inequalities using Lorentz spaces, BMO, Hölder spaces and fractional Sobolev spaces

Nonlinear Analysis, 2018
The main purpose of this paper is to prove some generalized Gagliardo–Nirenberg interpolation inequalities involving the Lorentz spaces L p , α , BMO and the fractional Sobolev spaces W s , p , including also C η Holder spaces.
N. Dao, J. I. Díaz, Quoc-Hung Nguyen
semanticscholar   +1 more source

Approximation in Hölder spaces

Advances in Mathematics
We introduce new vanishing subspaces of the homogeneous H\"{o}lder space $\dot{C}^{0,\omega}(X,Y)$ in the generality of a doubling modulus $\omega$ and normed spaces $X$ and $Y.$ For many couples $X,Y,$ we show these vanishing subspaces to completely ...
Carlos Mudarra, Tuomas Oikari
semanticscholar   +1 more source

On the Cauchy Problem for Nondegenerate Parabolic Integro-Differential Equations in the Scale of Generalized Hölder Spaces

Potential Analysis, 2018
Parabolic integro-differential nondegenerate Cauchy problem is considered in the scale of Hölder spaces of functions whose regularity is defined by a radially O-regularly varying Lévy measure.
R. Mikulevičius, Fanhui Xu
semanticscholar   +1 more source

Solvability for Stokes System in Hölder Spaces in Bounded domains and Its Applications

Journal of Mathematical Fluid Mechanics, 2015
We consider Stokes system in bounded convex domains and we present conditions of given data, in particular, boundary data, which ensure Hölder continuity of solutions. For Hölder continuous solutions for the Stokes system the normal component of boundary
Tongkeun Chang, K. Kang
semanticscholar   +1 more source

Cauchy problems for parabolic equations in Sobolev–Slobodeckii and Hölder spaces on uniformly regular Riemannian manifolds

, 2016
In this paper, we establish optimal solvability results—maximal regularity theorems—for the Cauchy problem for linear parabolic differential equations of arbitrary order acting on sections of tensor bundles over boundaryless complete Riemannian manifolds
H. Amann
semanticscholar   +1 more source

Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions

Analysis and Mathematical Physics, 2021
A. Karapetyants, S. Samko
semanticscholar   +1 more source