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Smooth pointwise multipliers of modulation spaces

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 20 (2012): Issue 1 (May 2012)

By: Ghassem Narimani

Open Access

|May 2013

Abstract

Let 1 < p, q < ∞ and s, r ∈ ℝ. It is proved that any function in the amalgam space W(H^r_p(ℝ^d), ℓ_∞), where p' is the conjugate exponent to p and H^r_p′ (ℝ^d) is the Bessel potential space, defines a bounded pointwise multiplication operator in the modulation space M^s_p,q(ℝ^d), whenever r > |s| + d

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Articles in this issue

DOI: https://doi.org/10.2478/v10309-012-0021-8 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 317 - 328

Published on: May 17, 2013

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Pointwise multipliers,

Modulation spaces,

Amalgam spaces,

Bessel potential spaces

Related subjects:

General mathematics

© 2013 Ghassem Narimani, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.

Volume 20 (2012): Issue 1 (May 2012)

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