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

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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

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Cited by 3 publications

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

Liu

2019

J Inequal Appl

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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.

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

Liu

2019

J Inequal Appl

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

Shen¹

2016

Journal of the Korean Mathematical Society

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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.

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

Meskhi¹,

Zaighum²

2014

Journal of Mathematical Inequalities

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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

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