Fractional integrals and generalized olsen inequalities

Hendra Gunawan

doi:10.5666/KMJ.2009.49.1.031

Fractional integrals and generalized olsen inequalities

Hendra Gunawan, Eridani

Faculty of Science and Technology

Research output: Contribution to journal › Article › peer-review

55 Citations (Scopus)

Abstract

Let Tρ be the generalized fractional integral operator associated to a function ρ: (0, ∞) → (0, ∞), as defined in [16]. For a function W on R{double-struck}ⁿ, we shall be interested in the boundedness of the multiplication operator f {mapping} W T_ρf on generalized Morrey spaces. Under some assumptions on ρ, we obtain an inequality for W T_ρ, which can be viewed as an extension of Olsen's and Kurata-Nishigaki-Sugano's results.

Original language	English
Pages (from-to)	31-39
Number of pages	9
Journal	Kyungpook Mathematical Journal
Volume	49
Issue number	1
DOIs	https://doi.org/10.5666/KMJ.2009.49.1.031
Publication status	Published - Jul 2009

Keywords

Fractional integral operators
Hardy-Littlewood maximal operators
Morrey spaces
Multiplication operators
Olsen inequality

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10.5666/KMJ.2009.49.1.031

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Fractional integrals and generalized olsen inequalities

Abstract

Keywords

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