Results 21 to 30 of about 868 (84)
Extended Cesáro operators between generalized Besov spaces and Bloch type spaces in the unit ball
Journal of Function Spaces, Volume 7, Issue 3, Page 209-223, 2009., 2009 Let 𝑔 be a holomorphic of the unit ball B in the n‐dimensional complex space, and denote by Tg the extended Cesáro operator with symbol g. Let 0 < p < +∞, −n − 1 < q < +∞, q > −1 and α > 0, starting with a brief introduction to well known results about Cesáro operator, we investigate the boundedness and compactness of Tg between generalized Besov space
Ze-Hua Zhou +2 more
wiley +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
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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
Disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators
Open Mathematics, 2018 We characterize disjointness of supercyclic operators which map a holomorphic function to a partial sum of the Taylor expansion. In particular, we show that disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators ...
Ma Yingbin, Wang Cui
doaj +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
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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
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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
Lyapunov theorems for Banach spaces
, 1993 We present a spectral mapping theorem for semigroups on any Banach space $E$. From this, we obtain a characterization of exponential dichotomy for nonautonomous differential equations for $E$-valued functions.
Latushkin, Yuri +1 more
core +4 more sources
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