Results 91 to 100 of about 73,328 (276)
On the Theory of Multilinear Singular Operators with Rough Kernels on the Weighted Morrey Spaces
We study some multilinear operators with rough kernels. For the multilinear fractional integral operators TΩ,αA and the multilinear fractional maximal integral operators MΩ,αA, we obtain their boundedness on weighted Morrey spaces with two weights Lp,κ(u,
Sha He, Xiangxing Tao
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Bilinear Fractional Integral Operators
We study the bilinear fractional integral considered by Kenig and Stein, where linear combinations of variables with matrix coefficients are involved. Under more general settings, we give a complete characterization of the corresponding parameters for which the bilinear fractional integral is bounded from $L^{p_1}(\mathbb{R}^{n_1}) × L^{p_2}(\mathbb{R}^
Chen, Ting, Sun, Wenchang
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On weighted inequalities for certain fractional integral operators [PDF]
This paper considers the modified fractional integral operators involving the Gauss hypergeometric function and obtains weighted inequalities for these operators. Multidimensional fractional integral operators involving the H‐function are also introduced.
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Acute caffeine treatment protects the developing retina from ischemia‐induced cell death
Caffeine reduces cell death in the developing retina under ischemia (OGD). This effect does not involve BDNF upregulation or antioxidant pathways (NRF2/VEGF). Neuroprotection occurs mainly through adenosine A2A receptor antagonism, decreasing glutamate release and excitotoxicity, highlighting caffeine's potential as an acute neuroprotective agent in ...
Amanda Alves Nascimento +6 more
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The aim of this paper is to get the boundedness of rough sublinear operators generated by fractional integral operators on vanishing generalized weighted Morrey spaces under generic size conditions which are satisfied by most of the operators in harmonic
Ferit Gurbuz
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Directed evolution of enzymes at the crossroads of tradition and innovation
An iterative cycle of data‐driven enzyme optimization comprising four stages: genetic diversification of a template enzyme, expression of protein variants, high‐throughput evaluation, and machine‐learning‐guided redesign of the next variant library.
Maria Tomkova +2 more
wiley +1 more source
Variable Herz Estimates for Fractional Integral Operators
UDC 517.5 In this paper, the author study the boundedness of fractional integral operators on a variable Herz-type Hardy space by using the atomic decomposition.
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Small RNA pathways in mammalian oocytes
Three distinct small RNA pathways operate in mammalian oocytes: RNAi interference (RNAi), the microRNA (miRNA) pathway, and the PIWI‐associated RNA (piRNA) pathway. These pathways use small RNAs to guide sequence‐specific repression and contribute to oocyte biology by targeting genes and mobile elements or appear insignificant since different ...
Petr Svoboda, Josef Pasulka
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Inequalities for a Unified Integral Operator and Associated Results in Fractional Calculus
Integral operators are useful in real analysis, mathematical analysis, functional analysis and other subjects of mathematical approach. The goal of this paper is to study a unified integral operator via convexity.
Young Chel Kwun +5 more
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The Extended Bessel-Maitland Function and Integral Operators Associated with Fractional Calculus
The aim of this paper is to introduce a presumably and remarkably altered integral operator involving the extended generalized Bessel-Maitland function. Particular properties are considered for the extended generalized Bessel-Maitland function connected ...
Kelelaw Tilahun +2 more
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