Cyclic behaviour of Volterra composition operators
, 2011 We determine the cyclic behaviour of Volterra composition operators, which are defined as $(V_\phif)(x) =\int_0^{\phi(x)}f(t) dt$, $f ? L^p[0, 1]$, 1\leq p <\infty$,where $?$ is a measurable self-map of [0, 1].
Stanislav Shkarin +5 more
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Weighted $L^p$ estimates for the elliptic Schrödinger operator [PDF]
, 2014 In this paper we study weighted $L^p$ estimates for the elliptic Schrödinger operator $P=-\Delta +V(x) $ with non-negative potentials $V(x)$ on $\mathbb{R}^n~(n\geq 3)$ which belongs to certain reverse Hölder ...
Yao, Fengping +2 more
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Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
FEBS Letters, EarlyView.A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
wiley +1 more source
The ubiquitin ligase RNF115 is required for the clearance of damaged lysosomes
FEBS Letters, EarlyView.Upon lysosomal rupture, an E3 ubiquitin ligase RNF115 translocates from the cytosol to the damaged lysosomal membrane. Moreover, RNF115 depletion impairs the clearance of damaged lysosomes, identifying it as a key regulator of lysosomal quality control.
Sae Nakanaga +3 more
wiley +1 more source
Spectral synthesis in the multiplier algebra of a C_0(X)-algebra
, 2014 We are grateful to the referee for a number of helpful comments and for pointing out an error in the original proof of Theorem 3.6.Peer ...
Archbold, Robert J +1 more
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Regularity conditions and Bernoulli properties of equilibrium states and $g$-measures [PDF]
, 2005 When T : X -> X is a one-sided topologically mixing subshift of finite type and {varphi} : X -> R is a continuous function, one can define the Ruelle operator L{varphi} : C(X) -> C(X) on the space C(X) of real-valued continuous functions on X.
Walters, Peter
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pH‐mediated activation of the lysosomal arginine sensor SLC38A9
FEBS Letters, EarlyView.Cells monitor nutrient levels via the lysosomal transporter SLC38A9 to activate the mechanistic target of rapamycin complex 1 (mTORC1). This study reveals that SLC38A9 function is regulated by pH. We identified histidine 544 as a critical pH sensor that undergoes conformational changes to control amino acid efflux from lysosomes; therefore, it ...
Xuelang Mu, Ampon Sae Her, Tamir Gonen
wiley +1 more source
On a singular anisotropic parabolic equation related to the p → ( x ) $\vec{p}(x)$ -Laplacian
Boundary Value ProblemsThis paper investigates a singular anisotropic parabolic equation associated with the p i ( x ) $p_{i}(x)$ -Laplacian operator. By employing the anisotropic Gagliardo-Sobolev-Nirenberg inequality and a modified Di Giorgi iteration technique, we derive a ...
Qitong Ou, Huashui Zhan
doaj +1 more source
Spectral properties of the Schrödinger operator with operator-valued potential
Математичні СтудіїLet $H$ be a separable Hilbert space, and let $\mathcal{H} := L_2(\mathbb{R}, H)$. In the space $\mathcal{H}$, we consider the self-adjoint Schrödinger operator of the form $ T_q f = -f'' + qf, $ where $q$ is a reflectionless operator-valued potential ...
Ya. V. Mykytyuk, N. S. Sushchyk
doaj +1 more source
Eigenvalue counting estimates for a class of linear spectral pencils with applications to zero modes [PDF]
, 2012 Consider a linear spectral pencil of the form P(−i∇)− zQ(x), z ∈ C. If P−1 ∈ weak-Lp and Q ∈ Lp for some 1 < p
Elton, Daniel, Ta, Tri Ngoc
core