Boundedness of positive operators on weighted amalgams

Cañestro, M. Isabel Aguilar; Salvador, P.

doi:10.1186/1029-242x-2011-13

J Inequal Appl

2011

DOI: 10.1186/1029-242x-2011-13

|View full text |Cite

Boundedness of positive operators on weighted amalgams

M. Isabel Aguilar Cañestro

P. Salvador

Abstract: In this article, we characterize the pairs (u, v) of positive measurable functions such that T maps the weighted amalgam

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2014

2019

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Analysis of a stochastic predator–prey population model with Allee effect and jumps

Liu

2019

J Inequal Appl

View full text Add to dashboard Cite

This paper is concerned with a stochastic predator-prey model with Allee effect and Lévy noise. First, by the comparison theorem of stochastic differential equations, we prove that the model has a unique global positive solution starting from the positive initial value. Then we investigate the asymptotic pathwise behavior of the model by the generalized exponential martingale inequality and the Borel-Cantelli lemma. Next, we establish the conditions under which predator and prey populations are extinct. Furthermore, we show that the global positive solution is stochastically ultimate bounded under some conditions by using the Bernoulli equation and Chebyshev's inequality. At last, we introduce some numerical simulations to support the main results obtained. The results in this paper generalize and improve the previous related results.

show abstract

Analysis of a stochastic predator–prey population model with Allee effect and jumps

Liu

2019

J Inequal Appl

View full text Add to dashboard Cite

show abstract

On the Strong Law of Large Numbers for Weighted Sums of Negatively Superadditive Dependent Random Variables

Shen¹

2016

Journal of the Korean Mathematical Society

View full text Add to dashboard Cite

Abstract. Let {Xn, n ≥ 1} be a sequence of negatively superadditive dependent random variables. In the paper, we study the strong law of large numbers for general weighted sums 1h(i) of negatively superadditive dependent random variables with non-identical distribution. Some sufficient conditions for the strong law of large numbers are provided. As applications, the Kolmogorov strong law of large numbers and Marcinkiewicz-Zygmund strong law of large numbers for negatively superadditive dependent random variables are obtained. Our results generalize the corresponding ones for independent random variables and negatively associated random variables.

show abstract

On the Boundedness of maximal and potential operators in variable exponent amalgam spaces

Meskhi¹,

Zaighum²

2014

Journal of Mathematical Inequalities

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Boundedness of positive operators on weighted amalgams

Abstract: In this article, we characterize the pairs (u, v) of positive measurable functions such that T maps the weighted amalgam

Cited by 3 publications

References 13 publications

Analysis of a stochastic predator–prey population model with Allee effect and jumps

Analysis of a stochastic predator–prey population model with Allee effect and jumps

On the Strong Law of Large Numbers for Weighted Sums of Negatively Superadditive Dependent Random Variables

On the Boundedness of maximal and potential operators in variable exponent amalgam spaces

Contact Info

Product

Resources

About