Smooth pointwise multipliers of modulation spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Narimani Ghassem¹ 

[1] Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran;

关键词: pointwise multipliers;    modulation spaces;    amalgam spaces;    bessel potential spaces;   

DOI  :  10.2478/v10309-012-0021-8

来源: DOAJ

【 摘 要 】

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 space Msp,q(ℝd), whenever r > |s| + d

【 授权许可】

Unknown