background: pet/ct imaging using [18f]-fdg is utilized in clinical oncology for tumor detecting, staging and responding to therapy procedures. essential consideration must be taken for radiation staff due to high gamma radiation in pet/ct and cyclotron center. the aim of this study was to assess the staff exposure regarding whole body and organ dose and to evaluate environment dose in pet/ct an...

Abstract We generalize the usual Doob maximal operator as well fractional and introduce $$M_{\gamma ,s,\alpha }$$ M γ , s α , a new for martingales. prove that under log-Hölder continuity conditio...

Let $${\mathcal {L}}=\sum _{j=1}^{m}X_{j}^{2}$$ be a Hörmander sum of squares vector fields in $${\mathbb {R}}^{n}$$ , where any $$X_{j}$$ is homogeneous degree 1 with respect to family non-isotropic dilations . Then, {L}}$$ known admit global fundamental solution $$\Gamma (x;y)$$ that can represented as the integral sublaplacian operator on lifting space {R}}^{n}\times {\mathbb {R}}^{p}$$ equi...

In this paper, we state some results on product of operators with closed ranges and we solve the operator equation $TXS^*-SX^*T^*= A$ in the general setting of the adjointable operators between Hilbert $C^*$-modules, when $TS = 1$. Furthermore, by using some block operator matrix techniques, we nd explicit solution of the operator equation $TXS^*-SX^*T^*= A$.

Abstract In this paper, we consider the maximal operator related to Laplace-Bessel differential ( B B -maximal operator) on L p ( ⋅ ) , γ R</m:mi...

Background: PET/CT imaging using [18F]-FDG is utilized in clinical oncology for tumor detecting, staging and responding to therapy procedures. Essential consideration must be taken for radiation staff due to high gamma radiation in PET/CT and cyclotron center. The aim of this study was to assess the staff exposure regarding whole body and organ dose and to evaluate environment dose in PET/CT an...

This work proves the global existence to Boltzmann equation in whole space with very soft potential $$\gamma \in [0,d)$$ and angular cutoff, framework of small perturbation equilibrium state. In this article, we generalize estimate on linearized collision operator L case obtain spectrum structure correspondingly. The classic solution can be derived by method strongly continuous semigroup. For p...

‎in this paper we try to extend geometric concepts in the context of operator valued tensors‎. ‎to this end‎, ‎we aim to replace the field of scalars $ mathbb{r} $ by self-adjoint elements of a commutative $ c^star $-algebra‎, ‎and reach an appropriate generalization of geometrical concepts on manifolds‎. ‎first‎, ‎we put forward the concept of operator-valued tensors and extend semi-riemannian...

Abstract We study a commonly-used second-kind boundary-integral equation for solving the Helmholtz exterior Neumann problem at high frequency, where, writing $$\Gamma $$ ? boundary of obstacle, relevant integral operators map $$L^2(\Gamma )$$ L 2 </mml:m...

A $it{weighted~slant~Toep}$-$it{Hank}$ operator $L_{phi}^{beta}$ with symbol $phiin L^{infty}(beta)$ is an operator on $L^2(beta)$ whose representing matrix consists of all even (odd) columns from a weighted slant Hankel (slant weighted Toeplitz) matrix, $beta={beta_n}_{nin mathbb{Z}}$ be a sequence of positive numbers with $beta_0=1$. A matrix characterization for an operator to be $it{weighte...