Results 21 to 30 of about 879 (86)
Maps preserving common zeros between subspaces of vector-valued continuous functions [PDF]
, 2009 For metric spaces $X$ and $Y$, normed spaces $E$ and $F$, and certain subspaces $A(X,E)$ and $A(Y,F)$ of vector-valued continuous functions, we obtain a complete characterization of linear and bijective maps $T:A(X,E)\to A(Y,F)$ preserving common zeros ...
Dubarbie, Luis
core +1 more source
The essential norm of a composition operator mapping into Qk type spaces
Journal of Function Spaces, Volume 6, Issue 3, Page 241-258, 2008., 2008 An asymptotic formula for the essential norm of the composition operator Cφ(f) : = f∘φ, induced by an analytic self‐map φ of the unit disc, mapping from the α‐Bloch space ℬα or the Dirichlet type space Dαp into Qk(p, q) is established in terms of an integral condition.
Marko Kotilainen +2 more
wiley +1 more source
Bloch‐type space of temperature functions on a finite cylinder
Journal of Function Spaces, Volume 5, Issue 3, Page 287-297, 2007., 2007 We define the Bloch‐type space BT as the linear space of temperature functions on the cylinder ST=S1×(0,T) such that sup(x,t)∈Tt| ∂u∂t(x,t) |<∞, ΩT = [0,2] × (0, T); we prove that (b1(ST))*=BT, where b1(ST) is the Bergman space of temperature functions on ST belonging to L1(ΩT, dxdt).
Marcos López-García, Hans Triebel
wiley +1 more source
The maximal operator in weighted variable spaces Lp(⋅)
Journal of Function Spaces, Volume 5, Issue 3, Page 299-317, 2007., 2007 We study the boundedness of the maximal operator in the weighted spaces Lp(⋅)(ρ) over a bounded open set Ω in the Euclidean space ℝn or a Carleson curve Γ in a complex plane. The weight function may belong to a certain version of a general Muckenhoupt‐type condition, which is narrower than the expected Muckenhoupt condition for variable exponent, but ...
Vakhtang Kokilashvili +3 more
wiley +1 more source
New proof of Nagnibida′s theorem
Journal of Function Spaces, Volume 4, Issue 1, Page 85-90, 2006., 2006 Using the Duhamel product for holomorphic functions we give a new proof of Nagnibida’s theorem on unicellularity of integration operator Ja,(Jaf)(z)=?azf(t)dt, acting in the space Hol(O).
Mubariz T. Karaev, Nicolae Popa
wiley +1 more source
Generalized Stević-Sharma operators from the minimal Möbius invariant space into Bloch-type spaces
Demonstratio Mathematica, 2023 The aim of this study is to investigate the boundedness, essential norm, and compactness of generalized Stević-Sharma operator from the minimal Möbius invariant space into Bloch-type space.
Guo Zhitao
doaj +1 more source
Characterization of Riesz and Bessel potentials on variable Lebesgue spaces
Journal of Function Spaces, Volume 4, Issue 2, Page 113-144, 2006., 2006 Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that the exponent satisfies natural regularity conditions. As a consequence of this characterization, we
Alexandre Almeida +2 more
wiley +1 more source
Approximation of the image of the Lp ball under Hilbert-Schmidt integral operator
Demonstratio Mathematica, 2023 In this article, an approximation of the image of the closed ball of the space Lp{L}_{p} (p>1p\gt 1) centered at the origin with radius rr under Hilbert-Schmidt integral operator F(⋅):Lp→LqF\left(\cdot ):{L}_{p}\to {L}_{q}, 1p+1q=1\frac{1}{p}+\frac{1}{q}=
Huseyin Nesir
doaj +1 more source
A note on two‐weight inequalities for multiple Hardy‐type operators
Journal of Function Spaces, Volume 3, Issue 3, Page 223-237, 2005., 2005 Necessary and sufficient conditions on a pair of weights guaranteeing two‐weight estimates for the multiple Riemann‐Liouville transforms are established provided that the weight on the right‐hand side satisfies some additional conditions.
Alexander Meskhi, Vakhtang Kokilashvili
wiley +1 more source
Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces
Open Mathematics, 2020 In this paper, we give a boundedness criterion for the potential operator ℐα{ {\mathcal I} }^{\alpha } in the local generalized Morrey space LMp,φ{t0}(Γ)L{M}_{p,\varphi }^{\{{t}_{0}\}}(\text{Γ}) and the generalized Morrey space Mp,φ(Γ){M}_{p ...
Guliyev Vagif +2 more
doaj +1 more source