Results 51 to 60 of about 2,945 (178)
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group: an expanded version
Marcinkiewicz multipliers are L^{p} bounded for ...
Coifman +5 more
core +1 more source
Marcinkiewicz integrals along subvarieties on product domains
We study the Lp mapping properties of a class of Marcinkiewicz integral operators on product domains with rough kernels supported by subvarieties.
Ahmad Al-Salman
doaj +1 more source
A boundedness result for Marcinkiewicz integral operator [PDF]
Abstract We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains
Laith Hawawsheh, Mohammad Abudayah
openaire +3 more sources
Evidence Against Syntactic Encapsulation in Large Language Models
Abstract Transformer‐based large language models (LLMs) have recently demonstrated exceptional performance in a variety of linguistic tasks. LLMs primarily combine information across words in a sentence using the attention mechanism, implemented by “attention heads:” these components assign numerical weights linking different words in the input to one ...
Thomas A. McGee +2 more
wiley +1 more source
Beyond Usual Suspects: Revisiting Barriers to Childbearing Decisions in a Low Fertility Setting
Abstract Fertility rates in developed countries have declined to historically low levels, yet the reasons remain incompletely understood. This study examines the relative importance of diverse macro contextual constraints on childbearing intentions among young adults (aged 20–35) in Poland, a country emblematic of Europe's fertility decline.
Anna Kurowska +2 more
wiley +1 more source
Potential trace inequalities via a Calderón‐type theorem
Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
wiley +1 more source
Parabolic Marcinkiewicz integrals on product spaces and extrapolation
In this paper, we study the the parabolic Marcinkiewicz integral MΩ,hρ1,ρ2${\cal M}_{\Omega, h}^{{\rho _{1,}}{\rho _2}}$ on product domains Rn × Rm (n, m ≥ 2). Lp estimates of such operators are obtained under weak conditions on the kernels.
Ali Mohammed, Al-Dolat Mohammed
doaj +1 more source
A note on certain integrals along polynomial compound curves
In this paper we consider a singular integral operator and a parametric Marcinkiewicz integral operator with rough kernel. These operators have singularity along sets of the form curves {x=P(φ(|y|))y′} $\{x=P(\varphi (|y|))y'\}$, where P is a real ...
Feng Liu, Pu Zhang
doaj +1 more source
ABSTRACT This article examines the effect of electoral system reform on legislative speech‐making by Members of Parliament (MPs), focusing on the case of Denmark's 1918 shift from single‐member districts (SMD) to proportional representation (PR) in elections to the lower chamber.
Martin Ejnar Hansen
wiley +1 more source
On the Fourier transform of measures in Besov spaces
Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak +2 more
wiley +1 more source

