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Pointwise Multipliers on Weak Morrey Spaces [PDF]
We consider generalized weak Morrey spaces with variable growth condition on spaces of homogeneous type and characterize the pointwise multipliers from a generalized weak Morrey space to another one.
Ryota Kawasumi, Eiichi Nakai
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Spaces of Pointwise Multipliers on Morrey Spaces and Weak Morrey Spaces
The spaces of pointwise multipliers on Morrey spaces are described in terms of Morrey spaces, their preduals, and vector-valued Morrey spaces introduced by Ho. This paper covers weak Morrey spaces as well.
Eiichi Nakai +2 more
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Pointwise Multipliers of Triebel-Lizorkin Spaces on Carnot-Carathéodory Spaces [PDF]
Let be a Carnot-Carathéodory space, namely, is a smooth manifold, is a control, or Carnot-Carathéodory, metric induced by a collection of vector fields of finite type.
Yanchang Han, Fang Wang
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Pointwise multipliers of Orlicz spaces
Let \((\Omega,\Sigma,\mu)\) be a complete \(\sigma\)-finite measure space and let \(L^0(\Omega)\) denote the class of measurable functions on \(\Omega\). If \((X,\|\cdot\|_X)\), \((Y,\|\cdot\|_Y)\) are Banach spaces of functions in \(L^0(\Omega)\), then \(M(X,Y)\), the space of pointwise multipliers, is defined by \[ M(X,Y)= \{y\in L^0(W): xy\in Y\text{
Lech Maligranda +2 more
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Pointwise Multipliers on Spaces of Homogeneous Type in the Sense of Coifman and Weiss [PDF]
By applying the remarkable orthonormal basis constructed recently by Ausher and Hytönen on spaces of homogeneous type in the sense of Coifman and Weiss, pointwise multipliers of inhomogeneous Besov and Triebel-Lizorkin spaces are obtained.
Yanchang Han +2 more
doaj +5 more sources
Multipliers in weighted Sobolev spaces on the axis [PDF]
This work establishes necessary and sufficient conditions for the boundedness of one variable differential operator acting from a weighted Sobolev space Wlp,v to a weighted Lebesgue space on the positive real half line.
A. Myrzagaliyeva
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Pointwise multipliers of Musielak–Orlicz spaces and factorization [PDF]
AbstractWe prove that the space of pointwise multipliers between two distinct Musielak–Orlicz spaces is another Musielak–Orlicz space and the function defining it is given by an appropriately generalized Legendre transform. In particular, we obtain characterization of pointwise multipliers between Nakano spaces.
Karol Lesnik, Jakub Tomaszewski
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Smooth pointwise multipliers of modulation spaces [PDF]
Let 1 < p, q < ∞ and s, r ∈ ℝ. It is proved that any function in the amalgam space W(Hrp(ℝd), ℓ∞), where p' is the conjugate exponent to p and Hrp′ (ℝd) is the Bessel potential space, defines a bounded pointwise multiplication operator in the modulation ...
Narimani Ghassem
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Pointwise multipliers for Besov spaces of dominating mixed smoothness - II [PDF]
29 pages.
Van Kien Nguyen +2 more
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Pointwise multipliers for Sobolev and Besov spaces of dominating mixed smoothness
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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