Results 71 to 80 of about 2,130,840 (372)
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
The paper is constructed and proved computational scheme for a solution of singular Prandtl of integro-differential equations with singular integral over the interval of the real axis, understood in the sense of the Cauchy principal value.
Galina A. Rasolko
doaj
The Carleman method of analytical regularization is used to model the plane E‐polarized electromagnetic wave scattering by flat grating of a finite number of impedance strips. It is based on a modification of the singular integral equation technique, the
George I. Koshovy, Andrew G. Koshovy
doaj +1 more source
We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator.
J.J. Hasanov, I. Ekincioglu, C. Keskin
doaj +1 more source
Singular stochastic integral operators
In this paper we introduce Calder\'on-Zygmund theory for singular stochastic integrals with operator-valued kernel. In particular, we prove $L^p$-extrapolation results under a H\"ormander condition on the kernel.
Lorist, Emiel, Veraar, Mark
core
On modified singular integrals [PDF]
A singular integral operator \(Tf(x)=\text{p.v.}\int\Omega (x- y)f(y)dy\), where \(\Omega\) is a homogeneous function of degree \((-n)\) on \(\mathbb{R}^ n\) with zero mean over the unit sphere, is bounded on the weighted Lebesgue space \(L_ p(| x|^ \alpha)\) if and only if \(-n< \alpha< n(p- 1)\) [\textit{E. M. Stein}, Proc. Am. Math. Soc. 8, 250-254 (
openaire +2 more sources
This study highlights the importance of multi‐omic analyses in characterizing colorectal cancers. Indeed, our analysis revealed a rare CMS1 exhibiting dampened immune activation, including reduced PD‐1 expression, moderate CD8+ T‐cell infiltration, and suppressed JAK/STAT pathway.
Livia Concetti +10 more
wiley +1 more source
Analogue Sochocky formulae for integral operators with additional logarithmic singularity
In this paper we prove the limit formulas for singular integrals of the form. Limit values of such integrals are expressed in terms of singular integral operators and also integral operators.
Vitold V. Kashevski
doaj
On a Local Mean Oscillation Decomposition [PDF]
In this note we generate two local median oscillation decompositions of an arbitrary measurable function and discuss some applications to Calder\'{o}n-Zygmund singular integral operators $T$. These applications rely on the inequality $M^{\sharp}_{0,s}(Tf)
Poelhuis, Jonathan, Torchinsky, Alberto
core
Regularity of the minimiser of one-dimensional interaction energies
We consider both the minimisation of a class of nonlocal interaction energies over non-negative measures with unit mass and a class of singular integral equations of the first kind of Fredholm type. Our setting covers applications to dislocation pile-ups,
Kimura, M., van Meurs, P.
core +1 more source

