Results 61 to 70 of about 2,945 (178)
The scalar T1 theorem for pairs of doubling measures fails for Riesz transforms when p not 2
Abstract We show that for an individual Riesz transform in the setting of doubling measures, the scalar T1$T1$ theorem fails when p≠2$p \ne 2$: for each p∈(1,∞)∖{2}$ p \in (1, \infty) \setminus \lbrace 2\rbrace$, we construct a pair of doubling measures (σ,ω)$(\sigma, \omega)$ on R2$\mathbb {R}^2$ with doubling constant close to that of Lebesgue ...
Michel Alexis +3 more
wiley +1 more source
The Concise Guide to PHARMACOLOGY 2025/26: Catalytic receptors
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 +31 more
wiley +1 more source
Let , the authors introduce in this paper a class of the hypersingular Marcinkiewicz integrals along surface with variable kernels defined by , where with .
Ruiying Wei, Yin Li
doaj +2 more sources
Optimality of embeddings in Orlicz spaces
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
Navigating infection by pathogenic spirochetes: The host‐bacteria interface at the atomic level
Abstract Pathogenic spirochetes bind and interact with various host structures and molecules throughout the course of infection. By utilizing their outer surface molecules, spirochetes can effectively modulate their dissemination, interact with immune system regulators, and select specific destination niches within the host.
Libor Hejduk +7 more
wiley +1 more source
Boundedness of Commutators of Marcinkiewicz Integrals on Nonhomogeneous Metric Measure Spaces
Let (X,d,μ) be a metric measure space satisfying the upper doubling condition and geometrically doubling condition in the sense of Hytönen. The aim of this paper is to establish the boundedness of commutator Mb generated by the Marcinkiewicz integral M ...
Guanghui Lu, Shuangping Tao
doaj +1 more source
All Your Base Are Belong to Us: The Urgent Reality of Unproctored Testing in the Age of LLMs
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
Collaborative Growth: When Large Language Models Meet Sociolinguistics
ABSTRACT Large Language Models (LLMs) have dramatically transformed the AI landscape. They can produce remarkable fluent text and exhibit a range of natural language understanding and generation capabilities. This article explores how LLMs might be used for sociolinguistic research and, conversely, how sociolinguistics can contribute to the development
Dong Nguyen
wiley +1 more source
Boundedness of Marcinkiewicz Integrals on RBMO Spaces over Nonhomogeneous Metric Measure Spaces
Let X,d,μ be a metric measures space satisfying the upper doubling conditions and the geometrically doubling conditions in the sense of Hytönen. Under the assumption that the dominating function satisfies the weak reverse doubling condition, the authors ...
Ji Cheng, Guanghui Lu
doaj +1 more source
Area Littlewood-Paley functions associated with Hermite and Laguerre operators [PDF]
In this paper we study Lp-boundedness properties for area Littlewood-Paley functions associated with heat semigroups for Hermite and Laguerre ...
Betancor, J. J. +2 more
core

