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Pointwise multipliers of Orlicz function spaces and factorization [PDF]
Positivity, 2016 In the paper we find representation of the space of pointwise multipliers between two Orlicz function spaces, which appears to be another Orlicz space and the formula for the Young function generating this space is given. Further, we apply this result to find necessary and suffcient conditions for factorization of Orlicz function spaces.
Karol Leśnik, Jakub Tomaszewski
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Multipliers of trigonometric series and pointwise convergence [PDF]
Transactions 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].
N. M. Rivière, Yoram Sagher
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Wavelet characterization of the pointwise multiplier space $\dot{{X}_{r}$ [PDF]
Functiones et Approximatio Commentarii Mathematici, 2010 In the present note we characterize the function space $\dot{X}_{r}$, which is the set of pointwise multipliers which map $L^{2}$ into $\dot{H}^{-r}$. To this end, we use wavelets and capacity.
Yoshihiro Sawano, Sadek Gala
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Pointwise multipliers for functions of bounded mean oscillation [PDF]
Journal of the Mathematical Society of Japan, 1985 We characterize the set of pointwise multipliers on bmo\({}_{\phi}({\mathbb{R}}^ n)\), which generalizes the corresponding theorem by \textit{S. Janson} in the torus case [Ark. Mat. 14, 189-196 (1976; Zbl 0341.43005)]. To be more precise, let \(\phi\) (r) be a nondecreasing concave function on the positive real line, and \[ w(x,r)=\phi (r)/(|\int^{1}_ ...
Eiichi Nakai, Kôzô Yabuta
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Non-smooth atoms and pointwise multipliers in function spaces [PDF]
Annali di Matematica Pura ed Applicata, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hans Triebel
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Pointwise Multipliers of Orlicz-Morrey Spaces
Journal of the Indonesian Mathematical SocietyWe investigate the space of pointwise multipliers of Orlicz-Morrey spaces. Using the H\"older inequality in Orlicz-Morrey spaces, we prove that the space of pointwise multipliers of Orlicz-Morrey spaces contains an Orlicz-Morrey space. We also prove a partial reverse inclusion of this result.
Ifronika Ifronika +2 more
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Pointwise Multipliers for Sobolev and Besov Spaces of Dominating Mixed\n Smoothness [PDF]
Journal of Mathematical Analysis and Applications, 2016 Under certain restrictions we describe the set of all pointwise multipliers in case of Sobolev and Besov spaces of dominating mixed smoothness. In addition we shall give necessary and sufficient conditions for the case that these spaces form algebras with respect to pointwise multiplication.
Van Kien Nguyen, Winfried Sickel
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Pointwise multipliers on weighted BMO spaces [PDF]
Studia Mathematica, 1997 Summary: Let \(E\) and \(F\) be spaces of real- or complex-valued functions defined on a set \(X\). A real- or complex-valued function \(g\) defined on \(X\) is called a pointwise multiplier from \(E\) to \(F\) if the pointwise product \(fg\) belongs to \(F\) for each \(f\in E\).
Eiichi Nakai
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Pointwise multipliers in Hardy-Orlicz spaces, and interpolation
MATHEMATICA SCANDINAVICA, 2010 We study multipliers of Hardy-Orlicz spaces ${\mathcal H}_{\Phi}$ which are strictly contained between $\bigcup_{p>0}H^p$ and so-called "big" Hardy-Orlicz spaces. Big Hardy-Orlicz spaces, carrying an algebraic structure, are equal to their multiplier algebra, whereas in classical Hardy spaces $H^p$, the multipliers reduce to $H^{\infty}$.
Andreas Hartmann
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Innovative approaches and methods to the implementation of energy-saving measures and technologies at mining enterprises [PDF]
E3S Web of Conferences, 2021 The paper presents the evaluation of the implementation of innovative methods of energy savings in electric drive and power supply systems at mining enterprises.
Semenov Alexander +5 more
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