Results 31 to 40 of about 1,073 (182)
Haar measure for non-Hausdorff locally compact groups
, 2023 The paper describes two possible ways of extending the definition of Haar measure to non-Hausdorff locally compact groups. The first one forces compact sets to be measurable: with this construction, a counterexample to the existence of the Haar measure ...
Valentini, Lisa
core
HAUSDORFF AND HARMONIC MEASURES ON NON-HOMOGENEOUS CANTOR SETS
, 2015 . We consider (not self-similar) Cantor sets defined by a sequence of piecewise linear functions. We prove that the dimension of the harmonic measure on such a set is strictly smaller than its Hausdorff dimension.
Athanasios Batakis +3 more
core +2 more sources
Demonstratio MathematicaThe objective of this study is to determine the criteria under which the infinite system of integral equations in three variables has a solution in the Banach tempering sequence space c0β{c}_{0}^{\beta } and ℓ1β{\ell }_{1}^{\beta }, utilizing the Meir ...
Simbeye Mesia +2 more
doaj +1 more source
Laser &Photonics Reviews, EarlyView.Bayesian optimization combined with in situ quantitative phase imaging enables autonomous correction of layer‐height deviations in projection multi‐photon lithography. By jointly tuning model parameters and grayscale exposure settings, the method achieves more uniform and accurate layers within 300 prints, offering a fast, data‐efficient route to ...
Jason E. Johnson, Xianfan Xu
wiley +1 more source
FilomatThis corrigendum is to express the definition of the Fibo-Pascal matrix PF = (pFnk) involving Fibonomial coefficient and its inverse [PF]-1 = ((pF)-1nk) were given in[2]. So, the last two paragraphs of the introductory section in [1] should be replaced by the following statements.
Muhammet Dağlı, Taja Yaying
openaire +1 more source
A Note on Sobolev‐Lorentz Capacity and Hausdorff Measure
Mathematische Nachrichten, EarlyView.ABSTRACT In this paper, we give an elementary proof that sets of zero p,1$p,1$‐Sobolev‐Lorentz capacity are Hn−p$\mathcal {H}^{n-p}$‐null sets, independently of nonlinear potential theory. We further show that there exists a set of Sobolev‐Lorentz‐(p,1)$(p,1)$ capacity equal to zero with Hausdorff dimension equal n−p$n-p$.
Daniel Campbell
wiley +1 more source
Norms and compactness of operators on absolute weighted mean summable series
Kuwait Journal of Science, 2016 In a recent paper [16], we characterized the classes of triangular matrix transformations mapping the spaces INpI and INqIk into the spaces INqIk and INqI, respectively, where the space INpIk, of series summable by absolute summability method.
Mehmet A. Sarigol
doaj
Relationship Between Limiting K‐Spaces and J‐Spaces in the Real Interpolation
Mathematische Nachrichten, EarlyView.ABSTRACT In the paper, “Description of the K$K$‐Spaces by Means of J$J$‐Spaces and the Reverse Problem,” Mathematische Nachrichten 296, no. 9 (2023), 4002–4031, we have established conditions under which the limiting K$K$‐space (X0,X1)0,q,b;K$(X_0,X_1)_{0,q,b;K}$, involving a slowly varying function b$b$, can be described by means of the J$J$‐space (X0,
Bohumír Opic, Manvi Grover
wiley +1 more source
Generalised Hausdorff measure of sets of Dirichlet non-improvable matrices in higher dimensions
, 2023 Let $\psi:\mathbb R_{+}\to \mathbb R_{+}$ be a nonincreasing function. A pair $(A,\mathbf b),$ where $A$ is a real $m\times n$ matrix and $\mathbf b\in\mathbb R^{m},$ is said to be $\psi$-Dirichlet improvable, if the system $$\|A\mathbf q +\mathbf b ...
Simmons, David, Bakhtawar, Ayreena
core
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source