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Multipliers of trigonometric series and pointwise convergence [PDF]

open access: yesTransactions of the American Mathematical Society, 1969
Introduction. In a recent paper M. Weiss and A. Zygmund [7] have studied the pointwise convergence of a trigonometric series a einx when the multipliers An= Injti (y real) are applied to it. The proof of their result makes use of Peano derivatives in LP, which bear a close connection with the tP classes of A. P. Calderon and A. Zygmund [1].
Riviere, N. M., Sagher, Y.
openaire   +2 more sources

Pointwise multipliers between spaces of analytic functions

open access: yesQuaestiones Mathematicae, 2023
A Banach space X of analytic function in D, the unit disc in C, is said to be admissible if it contains the polynomials and convergence in X implies uniform convergence in compact subsets of D.If X and Y are two admissible Banach spaces of analytic functions in D and g is a holomorphic function in D, g is said to be a multiplier from X to Y if g · f ...
Daniel Girela, Noel Merchán
openaire   +4 more sources

Forward integration, convergence and non-adapted pointwise multipliers [PDF]

open access: yesInfinite Dimensional Analysis, Quantum Probability and Related Topics, 2015
In this paper we study the forward integral of operator-valued processes with respect to a cylindrical Brownian motion. In particular, we provide conditions under which the approximating sequence of processes of the forward integral, converges to the stochastic integral process with respect to Sobolev norms of smoothness α < 1/2. This result will be
Pronk, Matthijs, Veraar, Mark
openaire   +2 more sources

Pointwise multipliers on martingale Campanato spaces [PDF]

open access: yesStudia Mathematica, 2014
We introduce generalized Campanato spaces $\mathcal{L}_{p,ϕ}$ on a probability space $(Ω,\mathcal{F},P)$, where $p\in[1,\infty)$ and $ϕ:(0,1]\to(0,\infty)$. If $p=1$ and $ϕ\equiv1$, then $\mathcal{L}_{p,ϕ}=\mathrm{BMO}$. We give a characterization of the set of all pointwise multipliers on $\mathcal{L}_{p,ϕ}$.
Nakai, Eiichi, Sadasue, Gaku
openaire   +2 more sources

Modeling Variational Inpainting Methods With Splines

open access: yesFrontiers in Applied Mathematics and Statistics, 2019
Mathematical methods of image inpainting often involve the discretization of a given continuous model. Typically, this is done by a pointwise discretization.
Florian Boßmann   +2 more
doaj   +1 more source

Estimates of Reachable Set and Sufficient Optimality Condition for Discrete Control Problems

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2017
The paper follows the “canonical optimality theory” (in the terminology due to A. A. Milyutin) for discrete-time optimal control problems. In respect of optimality conditions, the feature of this approach is to employ sets of strongly monotone functions ...
S. P. Sorokin
doaj   +1 more source

Homogeneity Property of Besov and Triebel-Lizorkin Spaces

open access: yesJournal of Function Spaces and Applications, 2012
We consider the classical Besov and Triebel-Lizorkin spaces defined via differences and prove a homogeneity property for functions with bounded support in the frame of these spaces. As the proof is based on compact embeddings between the studied function
Cornelia Schneider, Jan Vybíral
doaj   +1 more source

Pointwise multipliers on weak Orlicz spaces

open access: yesHiroshima Mathematical Journal, 2020
We characterize the pointwise multipliers from a weak Orlicz space to another weak Orlicz space.
Kawasumi, Ryota, Nakai, Eiichi
openaire   +3 more sources

Failure of the trilinear operator space Grothendieck theorem

open access: yesDiscrete Analysis, 2019
Failure of the trilinear operator space Grothendieck theorem, Discrete Analysis 2019:8, 16 pp. Let $\beta:\ell_\infty^n\times \ell_\infty^n\to\mathbb C$ be a bilinear form.
Jop Briët, Carlos Palazuelos
doaj   +1 more source

Pointwise multipliers and their properties

open access: yes, 2023
Wydział Matematyki i InformatykiCelem tej rozprawy jest opis przestrzeni mnożników punktowych działających pomiędzy pewnymi klasami krat Banacha oraz sformułowanie pewnych warunków gwarantujących słabą zwartość operatorów mnożenia punktowego.
Tomaszewski, Jakub
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