Given a domain $\Omega$ in $\mathbb{C}^n$ and collection of test functions $\Psi$ on $\Omega$, we consider the complex-valued $\Psi$-Schur-Agler class associated to pair $(\Omega,\,\Psi)$. In this article, characterize interpolating sequences for Banach algebra which is closed unit ball. When disc $\mathbb{D}$ complex plane $\mathbb{C}$ function includes only identity $\mathbb{D}$, aforemention...

For a fixed nonnegative integer $m$, an analytic map $\varphi$ and function $\psi$, the generalized integration operator $I^{(m)}_{\varphi,\psi}$ is defined by \[ I^{(m)}_{\varphi,\psi} f(z) = \int_0^z f^{(m)}(\varphi(\zeta)) \psi(\zeta) \, d\zeta \] for $X$-valued $f$, where $X$ Banach space. Some estimates norm of $I^{(m)}_{\varphi,\psi} \colon wA^p_{\alpha}(X) \to A^p_{\alpha}(X)$ are obtain...

In this work we define Ψ -boundedness of sequences and discuss the existence of Ψ -bounded solutions for linear difference equations. We present a necessary and sufficient condition for the existence of Ψ -bounded solutions for the linear nonhomogeneous difference equation x(n + 1) = A(n)x(n)+ f (n). c © 2006 Elsevier Ltd. All rights reserved.

We calculate the cross section for the exclusive production of J(PC)=0(++) glueballs G0 in association with the J/psi in e(+)e(-) annihilation using the perturbative QCD factorization formalism. The required long-distance matrix element for the glueball is bounded by CUSB data from a search for resonances in radiative Upsilon decay. The cross section for e(+)e(-)-->J/psi+G0 at sqrt[s]=10.6 GeV ...

New analytic estimates of the rate at which parametric subharmonic instability (PSI) transfers energy to high-vertical-wavenumber near-inertial oscillations are presented. These results are obtained by a heuristic argument which provides insight into the physical mechanism of PSI, and also by a systematic application of the method of multiple time scales to the Boussinesq equations linearized a...

In this paper we investigate the existence of solutions for a system consisting two inequalities variational type. Each inequality is formulated in terms nonlinear bifunction $\chi$ and $\psi$, respectively coupling functional $B$. We consider sets assumptions ${\bf (H_\chi^i)}$, (H_\psi^j)}$ (H_B^k)}$, $i,j,k\in\{1,2\}$ show that, if constraints are bounded, then solution exists regardless ass...

We study sharp growth conditions for the boundedness of Hardy-Littlewood maximal function in generalized Orlicz spaces. assume that \(\phi(x,t)\) satisfies standard continuity properties (A0), (A1) and (A2). show if is bounded from space to itself then \(\phi(x,t)/t^p\) almost increasing large \(t\) some \(p>1\). Moreover we \(L^\phi(\mathbb{R}^n)\) only \(\phi\) weakly equivalent a \(\psi\)...

On $(X,\omega)$ compact K\"ahler manifold, given a model type envelope $\psi\in PSH(X,\omega)$ (i.e. singularity type) we prove that the Monge-Amp\`ere operator is an homeomorphism between set of $\psi$-relative finite energy potentials and measures endowed with their strong topologies as coarsest refinements weak such relative energies become continuous. Moreover, totally ordered family $\math...