Results 51 to 60 of about 7,644 (191)
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
Weighted complete continuity for the commutator of Marcinkiewicz integral
Let $\Omega$ be homogeneous of degree zero, have mean value zero and integrable on the unit sphere, and $\mathcal{M}_{\Omega}$ be the higher-dimensional Marcinkiewicz integral associated with $\Omega$.
Hu, Guoen
core +1 more source
Duality and Lorentz-Marcinkiewicz operator spaces.
Let \(S_{\phi,q}\) be the collection of all compact operators T on a (complex) Hilbert space H such that (INVALID INPUT)\(\sigma_{\phi,q}(T)=(\sum^{\infty}_{n=1}(\phi (n)s_ n(T))^{q_ n-1})^{1/q}
openaire +3 more sources
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
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
Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds
We establish certain delicate Lp{L}^{p} bounds for a class of generalized Marcinkiewicz integral operators along submanifolds with rough kernels.
Ali Mohammed, Al-Qassem Hussain
doaj +1 more source
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. +2 more
core +1 more source
Dixmier traces and some applications to noncommutative geometry
This is a survey of some recent advances in the theory of singular traces in which the authors have played some part and which were inspired by questions raised by the book of Alain Connes (Noncommutative Geometry, Academic Press 1994).
Carey, A. L., Sukochev, F. A.
core +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
Function Spaces with Bounded Lp Means and Their Continuous Functionals
This paper studies typical Banach and complete seminormed spaces of locally summable functions and their continuous functionals. Such spaces were introduced long ago as a natural environment to study almost periodic functions (Besicovitch, 1932; Bohr and
Massimo A. Picardello
doaj +1 more source

