Results 71 to 80 of about 4,920,301 (252)

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  

Challenging Ring‐Current Models of the Carrington Storm

Journal of Geophysical Research: Space Physics, Volume 129, Issue 9, September 2024.
Abstract A detailed analysis is made of horizontal‐component geomagnetic‐disturbance data acquired at the Colaba observatory in India recording the Carrington magnetic storm of September 1859. Prior to attaining its maximum absolute value, disturbance at Colaba increased with an e‐folding timescale of 0.46 hr (28 min).
Jeffrey J. Love, Kalevi Mursula
wiley   +1 more source

Treatment of Ulnar Coronoid Process Fracture Using the Anterior Neurovascular Interval Approach: A Retrospective Clinical Study with Short‐ to Mid‐term Follow‐up

Orthopaedic Surgery, Volume 16, Issue 7, Page 1732-1743, July 2024.
The anterior neurovascular interval approach consists of dissecting loose tissue between the brachial artery and median nerve and pulling the brachial artery toward the radial side and the median nerve toward the ulnar side to reveal the brachialis. Subsequently, the brachialis was split along its fibers to expose the joint capsule.
Fei Yang, Zeyong Wang, Tangbo Yuan, Jian Qin   +3 more
wiley   +1 more source

Decomposition of Hardy–Morrey spaces

Journal of Mathematical Analysis and Applications, 2009
AbstractIn this paper, we establish the decompositions of Hardy–Morrey spaces in terms of atoms concentrated on dyadic cubes, which have the same cancellation properties of the classical Hardy spaces.
Henggeng Wang, Houyu Jia
openaire   +2 more sources

A thought on generalized Morrey spaces [PDF]

arXiv, 2018
Morrey spaces can complement the boundedness properties of 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 $p$
arxiv  

On Seeley‐type universal extension operators for the upper half space

Mathematische Nachrichten, Volume 297, Issue 3, Page 811-832, March 2024.
Abstract Modified from the standard half‐space extension via the reflection principle, we construct a linear extension operator for the upper half space R+n$\mathbb {R}^n_+$ that has the form Ef(x)=∑j=−∞∞ajf(x′,−bjxn)$Ef(x)=\sum _{j=-\infty }^\infty a_jf(x^{\prime },-b_jx_n)$ for xn<0$x_n<0$. We prove that E$E$ is bounded in all Ck$C^k$‐spaces, Sobolev
Haowen Lu, Liding Yao
wiley   +1 more source

Modelling diagenetic reactions and secondary porosity generation in sandstones controlled by the advection of low‐molecular‐weight organic acids

Basin Research, Volume 36, Issue 2, March–April 2024.
The caption of this graphical abstract is as follows: Schematic representation of the reconstructed diagenetic evolution model showing the stepwise mechanisms resulting in the higher secondary porosity in the central part of a sandstone unit. The middle interval B has a better grain sorting, resulting in a greater depositional porosity.
Huan Li, Jay R. Black, Yiwei Hao, Peng Hao, Achyut Mishra, Ralf R. Haese   +5 more
wiley   +1 more source

Explicit improvements for Lp$\mathrm{L}^p$‐estimates related to elliptic systems

Bulletin of the London Mathematical Society, Volume 56, Issue 3, Page 914-930, March 2024.
Abstract We give a simple argument to obtain Lp$\mathrm{L}^p$‐boundedness for heat semigroups associated to uniformly strongly elliptic systems on Rd$\mathbb {R}^d$ by using Stein interpolation between Gaussian estimates and hypercontractivity. Our results give p$p$ explicitly in terms of ellipticity. It is optimal at the endpoint p=∞$p=\infty$.
Tim Böhnlein, Moritz Egert
wiley   +1 more source