Results 101 to 110 of about 3,111,772 (368)

Multilinear integral operators and mean oscillation [PDF]

Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 3, August 2004, pp. 235-251, 2005
In this paper, the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue spaces to Orlicz spaces are obtained. The operators include Calder\'on--Zygmund singular integral operator, fractional integral operator, Littlewood--Paley operator and Marcinkiewicz operator.
arxiv  

Extensions of integral operators

Mathematische Annalen, 1988
On considere des operateurs integraux non singuliers a noyaux mesurables arbitraires. On etudie des conditions sur des espaces de mesures assurant la completude des domaines propres. On introduit des domaines relatifs, propres et etendus, et on demontre des resultats sur la continuite et la maximalite des extensions des operateurs ...
Szeptycki, Pawel, Labuda, Iwo
openaire   +2 more sources

Elucidating prognostic significance of purine metabolism in colorectal cancer through integrating data from transcriptomic, immunohistochemical, and single‐cell RNA sequencing analysis

Molecular Oncology, EarlyView.
Low expression of five purine metabolism‐related genes (ADSL, APRT, ADCY3, NME3, NME6) was correlated with poor survival in colorectal cancer. Immunohistochemistry analysis showed that low NME3 (early stage) and low ADSL/NME6 (late stage) levels were associated with high risk.
Sungyeon Kim, Myunghee Kang, Soyeon Jeong, Jisup Kim, Kyoung Oh Kim, Won‐Suk Lee, Jeong‐Heum Baek, Jung Ho Kim, Seungyoon Nam   +8 more
wiley   +1 more source

Some results on quantum Hahn integral inequalities

Journal of Inequalities and Applications, 2019
In this paper the quantum Hahn difference operator and the quantum Hahn integral operator are defined via the quantum shift operator Φqθ(t)=qt+(1−q)θ $_{\theta }\varPhi _{q}(t)=qt+(1-q)\theta $, t∈[a,b] $t\in [a,b]$, θ=ω/(1−q)+a $\theta = \omega /(1-q)+a$
Suphawat Asawasamrit, Chayapat Sudprasert, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
doaj   +1 more source

Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator

Journal of Inequalities and Applications, 2020
The aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integral operator.
Asifa Tassaddiq, Aftab Khan, Gauhar Rahman, Kottakkaran Sooppy Nisar, Moheb Saad Abouzaid, Ilyas Khan   +5 more
doaj   +1 more source

Exploration of heterogeneity and recurrence signatures in hepatocellular carcinoma

Molecular Oncology, EarlyView.
This study leveraged public datasets and integrative bioinformatic analysis to dissect malignant cell heterogeneity between relapsed and primary HCC, focusing on intercellular communication, differentiation status, metabolic activity, and transcriptomic profiles.
Wen‐Jing Wu, Jianchao Wang, Fuqing Chen, Xuefeng Wang, Bin Lan, Ruyi Fu, Hong Wen, Fangfang Chen, Wei Hong, Tian‐Yu Tang, Ying He, Gang Chen, Jianyin Zhou, Hai‐Long Piao, Di Chen, Shu‐Yong Lin   +15 more
wiley   +1 more source

A fixed-point type result for some non-differentiable Fredholm integral equations

Mathematical Modelling and Analysis
In this paper, we present a new fixed-point result to draw conclusions about the existence and uniqueness of the solution for a nonlinear Fredholm integral equation of the second kind with non-differentiable Nemytskii operator.
Miguel A. Hernández-Verón, Sukhjit Singh, Eulalia Martínez, Nisha Yadav   +3 more
doaj   +1 more source

Certain Grüss type inequalities involving the generalized fractional integral operator

, 2014
A remarkably large number of Grüss type fractional integral inequalities involving the special function have been investigated by many authors. Very recently, Kalla and Rao (Matematiche LXVI(1):57-64, 2011) gave two Grüss type inequalities involving the ...
Guotao Wang, P. Agarwal, M. Chand
semanticscholar   +1 more source

Comparing self‐reported race and genetic ancestry for identifying potential differentially methylated sites in endometrial cancer: insights from African ancestry proportions using machine learning models

Molecular Oncology, EarlyView.
Integrating ancestry, differential methylation analysis, and machine learning, we identified robust epigenetic signature genes (ESGs) and Core‐ESGs in Black and White women with endometrial cancer. Core‐ESGs (namely APOBEC1 and PLEKHG5) methylation levels were significantly associated with survival, with tumors from high African ancestry (THA) showing ...
Huma Asif, J. Julie Kim
wiley   +1 more source

Bounds for singular fractional integrals and related Fourier integral operators [PDF]

Journal of Functional Analysis, 199 (2003), 48--91., 2002
We prove sharp L^p-L^q endpoint bounds for singular fractional integral operators and related Fourier integral operators, under the nonvanishing rotational curvature assumption.
arxiv