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of 925
pro vyhledávání: '"metric measure space"'
Publikováno v:
Journal of Applied Sciences and Environmental Management, Vol 28, Iss 11B Supplementary (2024)
In this paper, we make use of topological stability from Gromov – Hausdorff view point to establish the Gromov – Hausdorff convergence and stability of induced actions on Wasserstein hyperspaces between maps.
Externí odkaz:
https://doaj.org/article/cd19e69f69e64c729dcea2da5d5b6d3a
Autor:
Pengyan Wang, Jiahao Wang
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 16354-16375 (2024)
We gave the Hardy type identities and inequalities for the divergence type operator $ L_{f, V} $ on smooth metric measure spaces. Additionally, we improved a Rellich type inequality by using the improved Hardy type inequality. Our results improved an
Externí odkaz:
https://doaj.org/article/a95e4b9c0ba44af0b2af5e646a775251
Autor:
Maysam Maysami Sadr
Publikováno v:
AUT Journal of Mathematics and Computing, Vol 5, Iss 2, Pp 143-149 (2024)
For a real-valued function $f$ on a metric measure space $(X,d,\mu)$ the Hardy-Littlewood centered-ball maximal-function of $f$ is given by the `supremum-norm':$$Mf(x):=\sup_{r>0}\frac{1}{\mu(\mathcal{B}_{x,r})}\int_{\mathcal{B}_{x,r}}|f|d\mu.$$In th
Externí odkaz:
https://doaj.org/article/0562dced7e9d43fa889a56a34d187719
Autor:
Lahti, Panu
In metric measure spaces, we study boundary traces of BV functions in domains equipped with a doubling measure and supporting a Poincar\'e inequality, but possibly having a very large and irregular boundary. We show that the trace exists in the ordin
Externí odkaz:
http://arxiv.org/abs/2107.06588
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 11, Iss 1, Pp 895-932 (2023)
Let (X,d,μ)\left({\mathcal{X}},d,\mu ) be a non-homogeneous metric measure space satisfying the geometrically doubling and upper doubling conditions. In this setting, we first introduce a generalized Morrey space Mpu(μ){M}_{p}^{u}\left(\mu ), where
Externí odkaz:
https://doaj.org/article/e326a1d7bf3342129da2dd2e8545f0f5
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