Bloch‐type space of temperature functions on a finite cylinder
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
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The maximal operator in weighted variable spaces Lp(⋅)
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
Generalized Stević-Sharma operators from the minimal Möbius invariant space into Bloch-type spaces
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
New proof of Nagnibida′s theorem
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
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
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A note on bi-contractive projections on spaces of vector valued continuous functions
This paper concerns the analysis of the structure of bi-contractive projections on spaces of vector valued continuous functions and presents results that extend the characterization of bi-contractive projections given by the first author.
Botelho Fernanda, Rao T.S.S.R.K.
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The Faber polynomial expansion method and its application to the general coefficient problem for some subclasses of bi-univalent functions associated with a certain q-integral operator [PDF]
In our present investigation, we first introduce several new subclasses of analytic and bi-univalent functions by using a certain q-integral operator in the open unit disk U = {z : z ∈ Cand |z| < 1}.
KHAN, Nazar +3 more
core +1 more source
A note on two‐weight inequalities for multiple Hardy‐type operators
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
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Extension of Zhu′s solution to Lotto′s conjecture on the weighted Bergman spaces
We reformulate Lotto′s conjecture on the weighted Bergman space Aα2 setting and extend Zhu′s solution (on the Hardy space H2) to the space Aα2.
Abebaw Tadesse
wiley +1 more source
Commutants of the Square of Differentiation on the Half-Line [PDF]
MSC 2010: Primary: 447B37; Secondary: 47B38 ...
Hristov, Valentin, Dimovski, Ivan
core

