Results 51 to 60 of about 211 (144)
Box dimension, oscillation and smoothness in function spaces
Journal of Function Spaces, Volume 3, Issue 3, Page 287-320, 2005., 2005 The aim of this paper is twofold. First we relate upper and lower box dimensions with oscillation spaces, and we develop embeddings or inclusions between oscillation spaces and Besov spaces. Secondly, given a point in the (1p, s)‐plane we determine maximal and minimal values for the upper box dimension (also the maximal value for lower box dimension ...
Abel Carvalho, Hans Triebel
wiley +1 more source
Isomorphism theorems for some parabolic initial-boundary value problems in Hörmander spaces
Open Mathematics, 2017 In Hörmander inner product spaces, we investigate initial-boundary value problems for an arbitrary second order parabolic partial differential equation and the Dirichlet or a general first-order boundary conditions.
Los Valerii, Murach Aleksandr
doaj +1 more source
Embeddings of α-Modulation Spaces [PDF]
, 2012 2010 Mathematics Subject Classification: 42B35, 46E35.We show upper and lower embeddings of α1-modulation spaces in α2-modulation spaces for 0 ≤ α1 ≤ α2 ≤ 1, and prove partial results on the sharpness of the ...
Wahlberg, Patrik, Toft, Joachim
core
A sharpness result for powers of Besov functions
Journal of Function Spaces, Volume 2, Issue 3, Page 267-277, 2004., 2004 A recent result of Kateb asserts that f∈Bp,qs(ℝn) implies |f|μ∈Bp,qs(ℝn) as soon as the following three conditions hold: (1) 0≺s≺μ + (1/p), (2) f is bounded, (3) μ≻1. By means of counterexamples, we prove that those conditions are optimal.
Gérard Bourdaud, Jürgen Appell
wiley +1 more source
Hardy–Adams Inequalities on ℍ2 × ℝn-2
Advanced Nonlinear Studies, 2021 Let ℍ2{\mathbb{H}^{2}} be the hyperbolic space of dimension 2. Denote by Mn=ℍ2×ℝn-2{M^{n}=\mathbb{H}^{2}\times\mathbb{R}^{n-2}} the product manifold of ℍ2{\mathbb{H}^{2}} and ℝn-2(n≥3){\mathbb{R}^{n-2}(n\geq 3)}.
Ma Xing, Wang Xumin, Yang Qiaohua
doaj +1 more source
A Note on Div-Curl Lemma [PDF]
, 2007 2000 Mathematics Subject Classification: 42B30, 46E35, 35B65.We prove two results concerning the div-curl lemma without assuming any sort of exact cancellation, namely the divergence and curl need not be zero, and $$div(u^−v^→) ∈ H^1(R^d)$$ which include
Gala, Sadek
core
A property of univalent functions in A_{p}
, 2000 The univalent functions in the diagonal Besov space A_{p}, where 1<p<\infty , are characterized in terms of the distance from the boundary of a point in the image domain. Here A_{2} is the Dirichlet space.
David Walsh
core +1 more source
, 2020 Interpolation theorems are proved for Sobolev spaces of functions on nonsmooth domains with vanishing trace on a part of the boundary.
Joachim Rehberg +5 more
core
Limiting Sobolev inequalities and the 1-biharmonic operator
Advances in Nonlinear Analysis, 2014 In this article we present recent results on optimal embeddings, and associated PDEs, of the space of functions whose distributional Laplacian belongs to L1.
Parini Enea +2 more
doaj +1 more source
THEORY OF CAPACITIES IN FRACTIONAL SOBOLEV SPACES WITH VARIABLE EXPONENTS [PDF]
, 2019 In this paper we develop a capacities theory connected with the fractional Sobolev spaces with variable exponents. Two kinds of capacities are studied: Sobolev capacity and relative capacity.
Baalal, Azeddine, Berghout, Mohamed
core