Results 81 to 90 of about 3,856 (192)

Lipschitz measures and vector-valued Hardy spaces

International Journal of Mathematics and Mathematical Sciences, 2001
We define certain spaces of Banach-valued measures called Lipschitz measures. When the Banach space is a dual space X*, these spaces can be identified with the duals of the atomic vector-valued Hardy spaces HXp(ℝn ...
Magali Folch-Gabayet, Martha Guzmán-Partida, Salvador Pérez-Esteva   +2 more
doaj   +1 more source

A characterisation of snowflakes via rectifiability

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract We prove a generalisation to every metric space of Tyson–Wu's characterisation of metric spaces biLipschitz equivalent to snowflakes, by removing compactness, doubling and embeddability assumptions. We also characterise metric spaces that are biLipschitz equivalent to a snowflake in terms of the absence of non‐trivial metric 1‐currents in ...
Emanuele Caputo, Nicola Cavallucci
wiley   +1 more source

Determinacy on the edge of second‐order arithmetic, I

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract This is the first of two articles on the strength of m$m{}$‐Σ30$\bm{\Sigma }^0_3{}$‐determinacy for m∈N$m\in \mathbb {N}$, the strongest theories of determinacy contained in Hilbert's second‐order arithmetic (Z2)$(Z_2)$. In this article, we refute two natural conjectures on the strength of these principles in terms of inductive definability ...
J. P. Aguilera, P. D. Welch
wiley   +1 more source

Tensor products of abstract Besov spaces

Karpatsʹkì Matematičnì Publìkacìï, 2012
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.
Dmytryshyn M.I.
doaj  

Schauder estimates for parabolic p$p$‐Laplace systems

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We establish the local Hölder regularity of the spatial gradient of bounded weak solutions u:ET→Rk$u\colon E_T\rightarrow \mathbb {R}^k$ to the nonlinear system of parabolic type ∂tu−div(a(x,t)μ2+|Du|2p−22Du)=0inET,$$\begin{equation*} \partial _tu-\operatorname{div}{\Big(a(x,t){\left(\mu ^2+|Du|^2\right)}^\frac{p-2}{2}Du\Big)}=0 \qquad \mbox ...
Verena Bögelein, Frank Duzaar, Ugo Gianazza, Naian Liao, Christoph Scheven   +4 more
wiley   +1 more source

Scattering theory for difference equations with operator coefficients

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher, Luis Silva, Boris Vertman, Monika Winklmeier   +3 more
wiley   +1 more source

A Reflected–Forward–Backward Splitting Method for Monotone Inclusions Involving Lipschitz Operators in Banach Spaces

Mathematics
The reflected–forward–backward splitting (RFBS) method is well-established for solving monotone inclusion problems involving Lipschitz continuous operators in Hilbert spaces, where it converges weakly under mild assumptions.
Changchi Huang, Jigen Peng, Liqian Qin, Yuchao Tang   +3 more
doaj   +1 more source

On Sharp Triangle Inequalities in Banach Spaces II

Journal of Inequalities and Applications, 2010
Sharp triangle inequality and its reverse in Banach spaces were recently showed by Mitani et al. (2007). In this paper, we present equality attainedness for these inequalities in strictly convex Banach spaces.
Kichi-Suke Saito, Ken-Ichi Mitani
doaj   +1 more source

Maximal inequalities for stochastic convolutions in 2-smooth Banach spaces and applications to stochastic evolution equations. [PDF]

Philos Trans A Math Phys Eng Sci, 2020
van Neerven J, Veraar M.
europepmc   +1 more source