<abstract xmlns="http://www.w3.org/1999/xhtml"> Let 1 &lt; p, q &lt; ∞ 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</abstract>

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

Smooth pointwise multipliers of modulation spaces

Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"Smooth pointwise multipliers of modulation spaces"}

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...

Smooth pointwise multipliers of modulation spaces

Published Online: May 17, 2013

Page range: 317 - 328

DOI: https://doi.org/10.2478/v10309-012-0021-8

Keywords
Pointwise multipliers, Modulation spaces, Amalgam spaces, Bessel potential spaces

This content is open access.

Smooth pointwise multipliers of modulation spaces

Published Online: May 17, 2013

Page range: 317 - 328

DOI: https://doi.org/10.2478/v10309-012-0021-8

KeywordsPointwise multipliers, Modulation spaces, Amalgam spaces, Bessel potential spaces

This content is open access.

Keywords
Pointwise multipliers, Modulation spaces, Amalgam spaces, Bessel potential spaces