Results 1 to 10 of about 62,963 (321)
Unconditionality, Fourier multipliers and Schur multipliers [PDF]
Let $G$ be an infinite locally compact abelian group. If $X$ is Banach space, we show that if every bounded Fourier multiplier $T$ on $L^2(G)$ has the property that $T\ot Id_X$ is bounded on $L^2(G,X)$ then the Banach space $X$ is isomorphic to a Hilbert
Arhancet, Cédric
core +5 more sources
Weighted estimates for multilinear Fourier multipliers [PDF]
We prove a H\"{o}rmander type multiplier theorem for multilinear Fourier multipiers with multiple weights.
Li, Kangwei, Sun, Wenchang
core +2 more sources
NONCOMMUTATIVE DE LEEUW THEOREMS
Let $\text{H}$ be a subgroup of some locally compact group $\text{G}$. Assume that $\text{H}$ is approximable by discrete subgroups and that $\text{G}$ admits neighborhood bases which are almost invariant under conjugation by finite subsets of $\text{H}$.
MARTIJN CASPERS +3 more
doaj +5 more sources
Estimates for Fourier sums and eigenvalues of integral operators via multipliers on the sphere [PDF]
We provide estimates for weighted Fourier sums of integrable functions defined on the sphere when the weights originate from a multiplier operator acting on the space where the function belongs. That implies refined estimates for weighted Fourier sums of
Jordão, Thaís, Menegatto, Valdir A.
core +2 more sources
A quantum multiplier based on the quantum Fourier transform algorithm
Multiplier is one of the basic units in many quantum algorithms. In order to implement the multiplying operations and use as few auxiliary qubits in the quantum circuit as possible, a quantum multiplier based on the quantum Fourier transform is proposed.
Qian Junkai, Zhu Jialiang, Ye Bin
doaj +1 more source
The dimension-free estimate for the truncated maximal operator
We mainly study the dimension-free Lp{L}^{p}-inequality of the truncated maximal operator Mnaf(x)=supt>01∣Ba1∣∫Ba1f(x−ty)dy,{M}_{n}^{a}f\left(x)=\mathop{\sup }\limits_{t\gt 0}\frac{1}{| {B}_{a}^{1}| }\left|\mathop{\int }\limits_{{B}_{a}^{1}}f\left(x-ty){\
Nie Xudong, Wang Panwang
doaj +1 more source
Equivalent Characterization on Besov Space
In this paper, we give an equivalent characterization of the Besov space. This reveals the equivalent relation between the mixed derivative norm and single-variable norm.
Cong He, Jingchun Chen
doaj +1 more source
Fourier multiplier theorems involving type and cotype [PDF]
In this paper we develop the theory of Fourier multiplier operators $T_{m}:L^{p}(\mathbb{R}^{d};X)\to L^{q}(\mathbb{R}^{d};Y)$, for Banach spaces $X$ and $Y$, $1\leq p\leq q\leq \infty$ and $m:\mathbb{R}^d\to \mathcal{L}(X,Y)$ an operator-valued symbol ...
Rozendaal, Jan, Veraar, Mark
core +3 more sources
Best multiplier Approximation in L_(p,∅_n ) (B)
The purpose of this paper is to find best multiplier approximation of unbounded functions in L_(p,∅_n ) –space by using Trigonometric polynomials and by de la Vallee- Poussin operators.
Saheb K. Al-Saidy +2 more
doaj +1 more source
Invariance for multiples of the twisted canonical bundle [PDF]
In this paper, we show an extension type theorem for twisted pluricanonical sections on a family of smooth projective manifolds (the twisting line bundle being pseudo-effective and having a prescribed multiplier ideal on the central fiber).Comment: A ...
Claudon, Benoît
core +6 more sources

