Results 61 to 70 of about 4,440 (181)

Marcinkiewicz Integral Operators and Commutators on Herz Spaces with Variable Exponents

Journal of Function Spaces, 2014
Our aim in this paper is to give the boundedness of the Marcinkiewicz integral μΩ on Herz spaces K˙p(·)α(·),q(Rn) and Kp(·)α(·),q(Rn), where the two main indices are variable.
Liwei Wang
doaj   +1 more source

BMO-estimation and Almost Everywhere Exponential Summability of Quadratic Partial Sums of Double Fourier Series

, 2013
It is proved a $BMO$-estimation for quadratic partial sums of two-dimensional Fourier series from which it is derived an almost everywhere exponential summability of quadratic partial sums of double Fourier ...
Goginava, U., Gogoladze, L., Karagulyan, G.   +2 more
core   +1 more source

The Concise Guide to PHARMACOLOGY 2025/26: Catalytic receptors

British Journal of Pharmacology, Volume 182, Issue S1, Page S259-S306, December 2025.
The Concise Guide to Pharmacology 2025/26 marks the seventh edition in this series of biennial publications in the British Journal of Pharmacology. Presented in landscape format, the guide provides a comparative overview of the pharmacology of drug target families. The concise nature of the Concise Guide refers to the style of presentation, being clear,
Stephen P. H. Alexander, Doriano Fabbro, Chloe J. Peach, Alasdair J. Gibb, Eamonn Kelly, Alistair A. Mathie, Emma L. Veale, Jane F. Armstrong, Elena Faccenda, Simon D. Harding, Christopher Southan, Jamie A. Davies, Annie Beuve, Peter Brouckaert, Clare Bryant, John C. Burnett, Richard W. Farndale, Andreas Friebe, John Garthwaite, Adrian J. Hobbs, Gavin E. Jarvis, Laura Kilpatrick, Doris Koesling, Michaela Kuhn, Birgit Leitinger, David MacEwan, Tom P. Monie, Lincoln R. Potter, Michael Russwurm, Harald H. H. W. Schmidt, Johannes‐Peter Stasch, Scott A. Waldman   +31 more
wiley   +1 more source

Local approach to order continuity in Ces\`aro function spaces

, 2017
The goal of this paper is to present a complete characterisation of points of order continuity in abstract Ces\`aro function spaces $CX$ for $X$ being a symmetric function space. Under some additional assumptions mentioned result takes the form $(CX)_a =
Kiwerski, Tomasz, Tomaszewski, Jakub
core   +1 more source

Optimality of embeddings in Orlicz spaces

Mathematische Nachrichten, Volume 298, Issue 7, Page 2380-2400, July 2025.
Abstract Working with function spaces in various branches of mathematical analysis introduces optimality problems, where the question of choosing a function space both accessible and expressive becomes a nontrivial exercise. A good middle ground is provided by Orlicz spaces, parameterized by a single Young function and thus accessible, yet expansive ...
Tomáš Beránek
wiley   +1 more source

Elliptic equations involving general subcritical source nonlinearity and measures [PDF]

, 2014
In this article, we study the existence of positive solutions to elliptic equation (E1) $$(-\Delta)^\alpha u=g(u)+\sigma\nu \quad{\rm in}\quad \Omega,$$ subject to the condition (E2) $$u=\varrho\mu\quad {\rm on}\quad \partial\Omega\ \ {\rm if}\ \alpha=1 ...
Chen, Huyuan, Felmer, Patricio, Véron, Laurent   +2 more
core   +2 more sources

Quantitative weighted L^p bounds for the Marcinkiewicz integral [PDF]

Mathematical Inequalities & Applications, 2019
Summary: Let \( \Omega\) be homogeneous of degree zero, have mean value zero and integrable on the unit sphere, and \(\mu _\Omega\) be the higher-dimensional Marcinkiewicz integral associated with \(\Omega\). In this paper, the authors proved that if \(\Omega \in L^q (S^{n-1})\) for some \(q\in (1, \infty ]\), then for \(p\in (q^\prime, \infty )\) and \
Hu, Guoen, Qu, Meng
openaire   +2 more sources

On the LP boundedness of Marcinkiewicz integrals

Michigan Mathematical Journal, 2002
Let \(b \in L^{\infty}(\mathbb R_{+})\) and let \(\Omega \in L^1(S^{n-1})\) with zero average where \(n \geq 2\). For a suitable mapping \(\Phi : \mathbb R^n \rightarrow \mathbb R^d\), the Marcinkiewicz integral operator \(\mu_{\Phi, \Omega, b}\) on \(\mathbb R^d\) is defined by \[ \mu_{\Phi, \Omega, b} f(x) = \Bigl( \int_0^{\infty}| F_{\Phi, t}(x) |^2
Ding, Yong, Fan, Dashan, Pan, Yibiao
openaire   +3 more sources

All Your Base Are Belong to Us: The Urgent Reality of Unproctored Testing in the Age of LLMs

International Journal of Selection and Assessment, Volume 33, Issue 2, May 2025.
ABSTRACT The release of new generative artificial intelligence (AI) tools, including new large language models (LLMs), continues at a rapid pace. Upon the release of OpenAI's new o1 models, I reconducted Hickman et al.'s (2024) analyses examining how well LLMs perform on a quantitative ability (number series) test.
Louis Hickman
wiley   +1 more source

A NOTE ON END PROPERTIES OF MARCINKIEWICZ INTEGRAL [PDF]

Journal of the Korean Mathematical Society, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources