We characterize continuity and compactness of the Volterra integral operator $T_g$ with non-constant analytic symbol $g$ between certain weighted Fréchet or (LB)-spaces functions on open unit disc, which arise as projective (resp. inductive) limits intersections unions) Bergman spaces order $1<p<\infty$ induced by standard radial weight $(1-|z|^2)^\alpha$ for $0<\alpha&...

We provide a characterization of the commutant analytic Toeplitz operators TB induced by finite Blaschke products B acting on weighted Bergman spaces which, as particular instance, yields case B(z)=zn space solved recently Abkar, Cao and Zhu [1]. Moreover, it extends previous results Cowen Wahl in this context applies to other Banach functions such Hardy Hp for 1<p<?. Finally, we apply approach...

‎By considering a degenerate $p(x)-$Laplacian equation‎, ‎a generalized compact embedding in weighted variable‎ ‎exponent Sobolev space is presented‎. ‎Multiplicity of positive solutions are discussed by applying fibering map approach for the‎ ‎corresponding Nehari manifold‎. 

We study the boundary of the region of weighted analytic centers for linear matrix inequality constraints. Let be the convex subset of R defined by q simultaneous linear matrix inequalities (LMIs) A(x) := A 0 + n ∑ i=1 xiA (j) i 0, j = 1, 2, . . . , q, where A i are symmetric matrices and x ∈ R. Given a strictly positive vector ω = (ω1, ω2, . . . , ωq), the weighted analytic center xac(ω) is th...

We compute the exact value of essential norm a generalized Hilbert matrix operator acting on weighted Bergman spaces Avp and Banach Hv? analytic functions, where v is general radial weight. In particular, we obtain classical standard A?p for p>2+?,??0, Korenblum H?? 0<?<1. also cover Hardy space Hp,1<p<?, case. case, equal to conjectured its similarly in case coincide. Hw?? with weights w?(z)=(...