Results 31 to 40 of about 348 (122)
Pointwise Multipliers of Orlicz-Morrey Spaces
We 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 on $L^1$ and related spaces
We consider completely continuous and weakly compact multiplication operators on certain classical function spaces, more precisely on Lebesgue spaces $L^1$ on spaces $C(K)$ of continuous functions on a compact Hausdorff space K,and on the Hardy space $H^1$. We will describe such operators in terms of their defining symbols. Our characterizations extend
Jarchow, Hans, Labuschagne, Louis E.
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Essential Norms of Pointwise Multipliers in the Non‐Algebraic Setting
ABSTRACT Motivated by some recent results, but also referring to recognized classics, we compute the essential norm and the weak essential norm of multiplication operators acting between two distinct Köthe spaces both defined over the same ‐finite measure space.
Tomasz Kiwerski, Jakub Tomaszewski
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Pointwise multipliers in Hardy-Orlicz spaces, and interpolation
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 $H^{\infty}$.
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A few last words on pointwise multipliers of Calderón–Lozanovskiĭ spaces
Revised version - 29 ...
Tomasz Kiwerski, Jakub Tomaszewski
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Pointwise Multipliers on the Morrey Spaces
A function g is called a pointwise multiplier from L^p〓to L^p〓, if the pointwise product fg belongs to L^p〓for each f∈L^p〓. We denote by PWM(L^p〓, Lp〓) the set of all pointwise multipliers from L^p〓to L^p〓. It is known that PWM(L^p〓, L^p〓)=L^p〓, 1/p〓+1/p〓=1/p〓. The purpose of this paper is to generalize the above equality to the Morrey spaces on spaces
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Pointwise Multipliers on the Lorentz Spaces
L^p 〓spaces ...
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Pointwise multipliers for reverse Hölder spaces. II
The author completes work begun in [Stud. Math. 109, No. 1, 23-39 (1994; Zbl 0844.42008)]. Let \(\Omega\) be an open subset of \(R^n\). A cube \(Q\) is always assumed to have faces perpendicular to the coordinate axes, and its length is denoted \(l(Q)\). If \(t>0\), \(tQ\) is the cube concentric with \(Q\) such that \(l(tQ) = tl(Q)\).
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Pointwise convergence of multiplier operators [PDF]
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Pointwise multipliers on Musielak-Orlicz spaces
We consider the pointwise multipliers on Musielak-Orlicz spaces. We treat a wide class of Musielak-Orlicz spaces with generalized Young functions which include quasi-normed spaces.
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