Results 51 to 60 of about 4,984,277 (353)

Hardy’s inequality on Hardy spaces

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 2016
We extend the Hardy inequalities to the classical Hardy spaces and the rearrangement-invariant Hardy spaces.
openaire   +3 more sources

The coefficient multipliers on $ H^2 $ and $ \mathcal{D}^2 $ with Hyers–Ulam stability

open access: yesAIMS Mathematics
In this paper, we investigated the Hyers–Ulam stability of the coefficient multipliers on the Hardy space $ H^2 $ and the Dirichlet space $ \mathcal{D}^2 $.
Chun Wang
doaj   +1 more source

Hardy-Type Space Associated with an Infinite-Dimensional Unitary Matrix Group

open access: yesAbstract and Applied Analysis, 2013
We investigate an orthogonal system of the homogenous Hilbert-Schmidt polynomials with respect to a probability measure which is invariant under the right action of an infinite-dimensional unitary matrix group.
Oleh Lopushansky
doaj   +1 more source

On vector-valued tent spaces and Hardy spaces associated with non-negative self-adjoint operators

open access: yes, 2015
In this paper we study Hardy spaces associated with non-negative self-adjoint operators and develop their vector-valued theory. The complex interpolation scales of vector-valued tent spaces and Hardy spaces are extended to the endpoint p=1.
Kemppainen, Mikko
core   +1 more source

Concentration-cancellation and Hardy spaces [PDF]

open access: yesJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1995
AbstractLet υ∈ be a sequence of DiPema-Majda approximate solutions to the 2-d incompressible Euler equations. We prove that if the vorticity sequence is weakly compact in the Hardy space H1 (R2) then a subsequence of υ∈ converges strongly in the energy norm to a solution of the Euler equations.
openaire   +6 more sources

Monsters in Hardy and Bergman Spaces [PDF]

open access: yesComplex Variables, Theory and Application: An International Journal, 2002
Plan Andaluz de Investigación (Junta de Andalucía)
Bernal González, Luis   +1 more
openaire   +3 more sources

On properties of solutions of complex differential equations in the unit disc

open access: yesAIMS Mathematics, 2021
The properties of solutions of the following differential equation $ f^{(k)}+A_{k-1}(z)f^{(k-1)}+\cdots+A_{1}(z)f'+A_{0}(z)f = F(z) $ are studied, where $ A_{j}(z) $ and $ F(z) $ are analytic in the unit disc $ \mathbb{D} = \{z:|z| < 1\} $, $
Jianren Long, Pengcheng Wu, Sangui Zeng
doaj   +1 more source

Inner functions with derivatives in the weak Hardy space [PDF]

open access: yes, 2012
It is proved that exponential Blaschke products are the inner functions whose derivative is in the weak Hardy space. As a consequence, it is shown that exponential Blaschke products are Frostman shift invariant.
J. Cima, A. Nicolau
semanticscholar   +1 more source

BMO-Boundedness of Maximal Operators and g-Functions Associated with Laguerre Expansions

open access: yesJournal of Function Spaces and Applications, 2012
Let {𝜑𝛼𝑛}𝑛∈ℕ be the Laguerre functions of Hermite type with index 𝛼. These are eigenfunctions of the Laguerre differential operator 𝐿𝛼=1/2(−𝑑2/𝑑𝑦2+𝑦2+1/𝑦2(𝛼2−1/4)). In this paper, we investigate the boundedness of the Hardy-Littlewood maximal function,
Li Cha, Heping Liu
doaj   +1 more source

Approximation learning methods of Harmonic Mappings in relation to Hardy Spaces

open access: yes, 2017
A new Hardy space Hardy space approach of Dirichlet type problem based on Tikhonov regularization and Reproducing Hilbert kernel space is discussed in this paper, which turns out to be a typical extremal problem located on the upper upper-high complex ...
Chen, C. L. Philip, Liu, Zhulin
core   +1 more source

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