Results 11 to 20 of about 580 (184)
Pointwise multipliers of Musielak–Orlicz spaces and factorization [PDF]
Revista Matemática Complutense, 2020 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 Leśnik, Jakub Tomaszewski
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Pointwise multipliers between spaces of analytic functions
Quaestiones 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
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Pointwise multipliers of Calderón‐Lozanovskiǐ spaces
Mathematische Nachrichten, 2012 AbstractSeveral results concerning multipliers of symmetric Banach function spaces are presented firstly. Then the results on multipliers of Calderón‐Lozanovskiǐ spaces are proved. We investigate assumptions on a Banach ideal space E and three Young functions φ1, φ2 and φ, generating the corresponding Calderón‐Lozanovskiǐ spaces \documentclass{article}\
Kolwicz, Pawel +2 more
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Forward integration, convergence and non-adapted pointwise multipliers [PDF]
Infinite 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
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Pointwise multipliers for reverse Holder spaces [PDF]
Studia Mathematica, 1994 The author gives necessary and sufficient conditions for a positive function to multiply reverse Hölder spaces \(RH_p\) into other reverse Hölder spaces \(RH_q\) when \(0< q\leq p\leq \infty\), and considers local variants and weak reverse Hölder conditions. Let \(\Omega\) be an open subset of \(\mathbb{R}^n\).
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Pointwise multipliers on martingale Campanato spaces [PDF]
Studia Mathematica, 2014 We introduce generalized Campanato spaces $\mathcal{L}_{p, }$ on a probability space $( ,\mathcal{F},P)$, where $p\in[1,\infty)$ and $ :(0,1]\to(0,\infty)$. If $p=1$ and $ \equiv1$, then $\mathcal{L}_{p, }=\mathrm{BMO}$. We give a characterization of the set of all pointwise multipliers on $\mathcal{L}_{p, }$.
Nakai, Eiichi, Sadasue, Gaku
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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].
Riviere, N. M., Sagher, Y.
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Pointwise multipliers of weighted BMO spaces [PDF]
Proceedings of the American Mathematical Society, 1993 In a recent paper by S. Bloom (Pointwise multipliers of weighted B M O BMO spaces, Proc. Amer. Math. Soc. 105 (1989), 950-960), there are some inaccuracies. In this note, we give a counterexample to his "theorem" and a corrected form with proof under a suitable condition on weights.
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Pointwise multipliers of weighted BMO spaces [PDF]
Proceedings of the American Mathematical Society, 1989 Let \(w:{\mathbb{R}}\to {\mathbb{R}}^+\) be a weight function satisfying the doubling condition: \(\int_{J}w(x)dx\leq C\int_{I}w(x)dx\), whenever I and J are intervals such that \(I\subset J\) and \(| J| \leq 2| I|\). The paper under review describes the weighted atomic \(H^ 1\)- space \(H_ w^ 1({\mathbb{R}})\) and weighted BMO-space \(BMO_ w({\mathbb ...
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Pointwise multipliers of Orlicz spaces
Archiv der Mathematik, 2010 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{
Maligranda, Lech, Nakai, Eiichi
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