Results 111 to 120 of about 2,710,426 (336)
A metric approach to limit operators
We extend the limit operator machinery of Rabinovich, Roch, and Silbermann from Z^N to (bounded geometry, strongly) discrete metric spaces. We do not assume the presence of any group structure or action on our metric spaces.
Spakula, Jan, Willett, Rufus
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Maximally hyperbolic operators [PDF]
The author studies well-posedness of Cauchy problem for operators of the form \[ P = D^ m_ t + \sum^ m_{j=1} A_ j (x,D) D_ t^{m-j}, \quad (t,x) \in I \times \Omega \subset \mathbb{R} \times \mathbb{R}^ n, \] where \(A_ j\) are pseudo-differential operators in the classes \(N^ j (\Omega, \Sigma)\) of \textit{L. Boutet de Monvel}, \textit{A. Grigis} and \
openaire +2 more sources
Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller +10 more
wiley +1 more source
Accretive and nonnegative perturbations of an abstract analogy for the operator of the third boundary problem and corresponding variational problems(in Ukrainian) [PDF]
In the paper the role of initial object is played by the positively definite operator L_0 acting in a Hilbert space H. The main object of the investigation is operator L B: It is interpreted as a perturbation of some proper extension of L0. Using methods
H. M. Kachurivska, O. G. Storozh
doaj
Two-weight norm inequalities for the rough fractional integrals
The authors give the weighted (Lp,Lq)-boundedness of the rough fractional integral operator TΩ,α and the fractional maximal operator MΩ,α with two different weight functions.
Yong Ding, Chin-Cheng Lin
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Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
wiley +1 more source
We introduce an iterative scheme for finding a common element of the solution set of a maximal monotone operator and the solution set of the variational inequality problem for an inverse strongly-monotone operator in a uniformly smooth and uniformly ...
Somyot Plubtieng, Wanna Sriprad
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Circulating microRNAs as biomarkers of cachexia and sex‐specific cancer in senior dogs. In 25 client‐owned dogs, four circulating miRNAs (miR‐15a, miR‐15b, miR‐16, miR‐140) were downregulated in cachexia, with miR‐16 the strongest individual biomarker (AUC = 0.899).
Soon‐Seok Park +6 more
wiley +1 more source
Time-Space Fractional Heat Equation in the Unit Disk
We will study a maximal solution of the time-space fractional heat equation in complex domain. The fractional time is taken in the sense of the Riemann-Liouville operator, while the fractional space is assumed in the Srivastava-Owa operator.
Rabha W. Ibrahim, Hamid A. Jalab
doaj +1 more source
Fractional Maximal operator in hyperbolic spaces
In this article, we introduce the fractional maximal operator on the Hyperbolic space, a non-doubling measure space, and study the weighted boundedness. Motivated in the weighted boundedness of Hardy-Littlewood maximal studied by Antezana and Ombrosi in [
Ibañez-Firnkorn, Gonzalo +1 more
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