Zobrazeno 1 - 10
of 69
pro vyhledávání: '"47G40"'
Autor:
Li, Hongjie, Xu, Longjuan
In this paper, we are concerned with subwavelength resonant modes of two hard inclusions embedding in soft elastic materials to realize negative materials in elasticity. All the $12$ subwavelength resonant frequencies are derived explicitly for gener
Externí odkaz:
http://arxiv.org/abs/2407.19769
Publikováno v:
Fixed Point Theory 25:2 (2024), 667-676
In this paper, existence of pairs of solutions is obtained for compact potential operators on Hilbert spaces. An application to a second-order boundary value problem is also given as an illustration of our results.
Externí odkaz:
http://arxiv.org/abs/2407.17128
Autor:
Agbanusi, Ikemefuna
How large is the Bessel potential, $G_{\alpha,\mu}f$, compared to the Riesz potential, $I_\alpha f$, of a given function? We prove that, for certain $f$ and $p$, \[\Vert G_{1,\mu} f\Vert_p\approx \omega(I_1f,1/\mu)_p,\] where $\omega(f,t)_p$ is the $
Externí odkaz:
http://arxiv.org/abs/2306.05610
We prove that a condition of boundedness of the maximal function of a singular integral operator, that is known to be sufficient for the continuity of the corresponding integral operator in H\"{o}lder spaces, is actually also necessary in case the ac
Externí odkaz:
http://arxiv.org/abs/2305.03656
Autor:
Kal’menov Tynysbek, Suragan Durvudkhan
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 646-649 (2024)
By the Klein-Gordon potential, we call a convolution-type integral with a kernel, which is the fundamental solution of the Klein-Gordon equation and also a solution of the Cauchy problem to the same equation. An interesting question having several im
Externí odkaz:
https://doaj.org/article/7e20d625a1074d4386fdf66f0c842e81
Autor:
Lipton, Alexander, Reghai, Adil
Local Stochastic Volatility (LSV) models have been used for pricing and hedging derivatives positions for over twenty years. An enormous body of literature covers analytical and numerical techniques for calibrating the model to market data. However,
Externí odkaz:
http://arxiv.org/abs/2302.08819
Let $X$ be a ball quasi-Banach function space on ${\mathbb R}^n$ satisfying some mild assumptions and let $\alpha\in(0,n)$ and $\beta\in(1,\infty)$. In this article, when $\alpha\in(0,1)$, the authors first find a reasonable version $\widetilde{I}_{\
Externí odkaz:
http://arxiv.org/abs/2206.06551
Autor:
Lipton, Alexander, Sepp, Artur
We combine the one-dimensional Monte Carlo simulation and the semi-analytical one-dimensional heat potential method to design an efficient technique for pricing barrier options on assets with correlated stochastic volatility. Our approach to barrier
Externí odkaz:
http://arxiv.org/abs/2202.07849
We obtain a characterization of the weighted inequalities for the Riesz transforms on weighted local Morrey spaces. The condition is sufficient for the boundedness on the same spaces of all Calder\'on-Zygmund operators suitably defined on the functio
Externí odkaz:
http://arxiv.org/abs/2110.14259