Results 61 to 70 of about 397 (184)
Smooth Decompositions of Triebel-Lizorkin and Besov Spaces on Product Spaces of Homogeneous Type
Journal of Function Spaces, 2014 We introduce Triebel-Lizorkin and Besov spaces by Calderón’s reproducing formula on product spaces of homogeneous type. We also obtain smooth atomic and molecular decompositions for these spaces.
Fanghui Liao +2 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.Stochastic processes prevail throughout fields as diverse as finance, physics, and biology, demanding increasingly sophisticated mathematical tools. These are the principal components of modeling systems influenced by random forces. The present work offers a structured examination of the solution landscape, progressing from foundational classical ...
Danamma I. Badigannavar +2 more
wiley +1 more source
Tensor products of abstract Besov spaces
Karpatsʹkì Matematičnì Publìkacìï, 2013 We prove the interpolation theorem for tensor products of abstract Besov spaces, associated with closed operators in Banach spaces and show its application to the problems of approximations of elements of tensor products of Banach spaces.
M. I. Dmytryshyn
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Composition Operators on Some Banach Spaces of Harmonic Mappings
Journal of Function Spaces, 2020 We study the composition operators on Banach spaces of harmonic mappings that extend several well-known Banach spaces of analytic functions on the open unit disk in the complex plane, including the α-Bloch spaces, the growth spaces, the Zygmund space ...
Munirah Aljuaid, Flavia Colonna
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper investigates the regularity criteria for the velocity field of three‐dimensional shear‐thinning fluids in the framework of Besov spaces. We obtain that when the specific negative exponent of the velocity field satisfies certain integrability conditions in Besov space, its regularity can be completely characterized by a set of parameter ...
Tianli Li +3 more
wiley +1 more source
A homogeneity property for Besov spaces
Journal of Function Spaces and Applications, 2007 A homogeneity property for some Besov spaces Bp,qs is proved. An analogous property for some Fp,qs spaces is already known.
António M. Caetano +2 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.We investigate the Cauchy problem for the fourth‐order Schrödinger equation with quadratic nonlinearities involving second‐order derivatives: uxxu, uxxū, (ux)2, uūxx, and |ux|2, where u = u(x, t) is a complex‐valued function defined on R×R. The flow map of this Cauchy problem with the nonlinear terms uxxu or uxxū fails to be C2 differentiable at zero ...
Long Xiao, Ting Chen, Xian-Ming Gu
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Distances from Bloch functions to some Möbius invariant function spaces in the unit ball of ℂn
Journal of Function Spaces and Applications, 2009 Distance formulae from Bloch functions to some Möbius invariant function spaces in the unit ball of ℂn such as Qs spaces, little Bloch space ℬ0 and Besov spaces Bp are given.
Wen Xu
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Random Gel′fand Approximation Between Anisotropic Spaces and Function Spaces With Mixed Smoothness
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper investigates the complexity associated with function approximation between anisotropic spaces and spaces of mixed smoothness within the framework of adaptive Monte Carlo methods. Specifically, we analyze the information complexity for approximating function classes of mixed smoothness Fmix,pr(1 ≤ p < ∞) in anisotropic spaces FqR(1 ≤ q ...
Bo Feng +4 more
wiley +1 more source
Nikol’skii–Type Inequalities for Trigonometric Polynomials for Lorentz–Zygmund Spaces
Journal of Function Spaces, 2020 Nikol’skii–type inequalities, that is inequalities between different metrics of trigonometric polynomials on the torus Td for the Lorentz–Zygmund spaces, are obtained. The results of previous paper “Nikol’skii inequalities for Lorentz–Zygmund spaces” are
Leo R. Ya. Doktorski
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