Results 81 to 90 of about 402,994 (249)

Nonconcentration phenomenon for one‐dimensional reaction–diffusion systems with mass dissipation

Mathematische Nachrichten, Volume 297, Issue 11, Page 4288-4306, November 2024.
Abstract Reaction–diffusion systems with mass dissipation are known to possess blow‐up solutions in high dimensions when the nonlinearities have super quadratic growth rates. In dimension 1, it has been shown recently that one can have global existence of bounded solutions if nonlinearities are at most cubic.
Juan Yang, Anna Kostianko, Chunyou Sun, Bao Quoc Tang, Sergey Zelik   +4 more
wiley   +1 more source

Fourier inequalities in Morrey and Campanato spaces

, 2023
We study norm inequalities for the Fourier transform, namely, \begin{equation}\label{introduction} \|\widehat f\|_{X_{p,q}^\lambda} \lesssim \|f\|_{Y}, \end{equation} where $X$ is either a Morrey or Campanato space and $Y$ is an appropriate function ...
Nursultanov, Erlan, Pinos, Alberto Debernardi, Tikhonov, Sergey   +2 more
core  

Cyclic‐Schottky strata of Schottky space

Bulletin of the London Mathematical Society, Volume 56, Issue 11, Page 3412-3427, November 2024.
Abstract Schottky space Sg${\mathcal {S}}_{g}$, where g⩾2$g \geqslant 2$ is an integer, is a connected complex orbifold of dimension 3(g−1)$3(g-1)$; it provides a parametrization of the PSL2(C)${\rm PSL}_{2}({\mathbb {C}})$‐conjugacy classes of Schottky groups Γ$\Gamma$ of rank g$g$. The branch locus Bg⊂Sg${\mathcal {B}}_{g} \subset {\mathcal {S}}_{g}$,
Rubén A. Hidalgo, Milagros Izquierdo
wiley   +1 more source

A Thought on Generalized Morrey Spaces [PDF]

Journal of the Indonesian Mathematical Society, 2019
Morrey spaces can complement the boundedness propertiesof operators that Lebesgue spaces can not handle.Morrey spaces which we have been handling are called classical Morrey spaces.However,classical Morrey spaces are not totally enough to describe the boundedness properties.To this end, we need to generalize parameters $p$ and $q$, among others $p$.
openaire   +2 more sources

Morrey Spaces are Embedded Between Weak Morrey Spaces and Stummel Classes [PDF]

Journal of the Indonesian Mathematical Society, 2019
In this paper, we show that the Morrey spaces $ L^{1,\left( \frac{\lambda}{p} -\frac{n}{p} + n \right) } \left( \mathbb{R}^{n} \right) $ are embedded betweenweak Morrey spaces $ wL^{p,\lambda}\left( \mathbb{R}^{n} \right) $ and Stummelclasses $ S_{\alpha}\left( \mathbb{R}^{n} \right) $ under some conditions on$ p, \lambda $ and $ \alpha $.
Nicky K. Tumalun, Hendra Gunawan
openaire   +2 more sources

Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension

Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract For large classes of even‐dimensional Riemannian manifolds (M,g)$(M,g)$, we construct and analyze conformally invariant random fields. These centered Gaussian fields h=hg$h=h_g$, called co‐polyharmonic Gaussian fields, are characterized by their covariance kernels k which exhibit a precise logarithmic divergence: |k(x,y)−log1d(x,y)|≤C$\big ...
Lorenzo Dello Schiavo, Ronan Herry, Eva Kopfer, Karl‐Theodor Sturm   +3 more
wiley   +1 more source

Sobolev Embedding Theorem for the Sobolev-Morrey spaces

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
In this paper we prove a Sobolev Embedding Theorem for Sobolev-Morrey spaces. The proof is based on the Sobolev Integral Representation Theorem and on a recent results on Riesz potentials in generalized Morrey spaces of Burenkov, Gogatishvili, Guliyev ...
V.I. Burenkov, N.A. Kydyrmina
doaj  

Proper inclusions of Morrey spaces [PDF]

arXiv, 2017
In this paper, we prove that the inclusions between Morrey spaces, between weak Morrey spaces, and between a Morrey space and a weak Morrey space are all proper. The proper inclusion between a Morrey space and a weak Morrey space is established via the unboundedness of the Hardy-Littlewood maximal operator on Morrey spaces of exponent 1.
arxiv  

Fractional integral operators on the mixed $λ$-central central Morrey spaces [PDF]

arXiv, 2022
In this paper, the authors define the mixed $\lambda$-central Morrey spaces and the mixed $\lambda$-central $BMO$ spaces. The boundedness of the fractional integral operators $T_{\alpha}$ and its commutators $[b, T_{\alpha}]$ are established on the mixed $\lambda$-central Morrey spaces, respectively.
arxiv