Results 41 to 50 of about 4,440 (181)
WEIGHTED ESTIMATES FOR ROUGH PARAMETRIC MARCINKIEWICZ INTEGRALS [PDF]
Summary: We establish a weighted norm inequality for a class of rough parametric Marcinkiewicz integral operators \({\mathcal M}_\Omega^\rho\). As an application of this inequality, we obtain weighted \(L^p\) inequalities for a class of parametric Marcinkiewicz integral operators \({\mathcal M}_{\Omega,\lambda}^{*,\rho}\) and \({\mathcal M}_{\Omega,S}^\
openaire +3 more sources
On the Compactness of the Commutator of the Parabolic Marcinkiewicz Integral with Variable Kernel
The authors prove that the commutator of the parabolic Marcinkiewicz integral gΩ with variable kernel is a compact operator on Lp(Rn ...
Yanping Chen, Kai Zhu, Yong Ding
doaj +1 more source
BELTRAMI EQUATIONS REVISITED: MARCINKIEWICZ EXPONENTS AND PAINLEVE-TYPE THEOREM
We deal with some new results on some types of Beltrami equations. There is a new approach involving the new metric characteristics: the Marcinkiewicz exponents. Another vision is applying the Cauchy-type integral representation to such equations.
Katz D . B .
doaj +1 more source
Let ( X , d , μ ) $(\mathcal{X}, d, \mu )$ be a non-homogeneous metric measure space, which satisfies the geometrically doubling condition and the upper doubling condition.
Tao Xiangxing, Zhang Qiange
doaj +1 more source
In this article, we study the generalized parabolic parametric Marcinkiewicz integral operators ℳΩ,h,Φ,λ(r){ {\mathcal M} }_{{\Omega },h,{\Phi },\lambda }^{(r)} related to polynomial compound curves.
Ali Mohammed, Katatbeh Qutaibeh
doaj +1 more source
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
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
In this paper, we obtain the existence and boundedness of Marcinkiewicz integrals with homogeneous kernels on central Campanato spaces. Moreover, the existence and boundedness of multilinear Marcinkiewicz integrals on central Campanato spaces are also ...
Jiao Ma, Mingquan Wei, Dunyan Yan
doaj +1 more source
We extend to n-dimensions a characterization of the Marcinkiewicz $L(p,\infty)$ spaces first obtained by Garsia-Rodemich in the one dimensional case. This leads to a new proof of the John-Nirenberg self-improving inequalities.
Milman, Mario
core +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

