𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A remark on fractional integrals on modulation spaces

✍ Scribed by Mitsuru Sugimoto; Naohito Tomita

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
131 KB
Volume
281
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper, we give the necessary and sufficient conditions for the boundedness of fractional integral operators on the modulation spaces. (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

Fractional integrals on modulation space
Fractional integrals on modulation spaces
✍ Naohito Tomita πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 147 KB

## Abstract In this paper, we study the boundedness of fractional integral operators on modulation spaces. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Bi-commutators of fractional integrals o
Bi-commutators of fractional integrals on product spaces
✍ Wengu Chen; Yongsheng Han; Changxing Miao πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 161 KB

## Abstract Recently Lacey extended Chanillo's boundedness result of commutators with fractional integrals to a higher parameter setting. In this paper, we extend Lacey's result to higher dimensional spaces by a different method. Our method is in terms of the dual relationship between product __BMO

Singular integrals on Besov spaces
Singular integrals on Besov spaces
✍ Tuomas HytΓΆnen; Lutz Weis πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 262 KB

## Abstract The boundedness of singular convolution operators __f__ ↦ __k__ βˆ—οΈ __f__ is studied on Besov spaces of vector‐valued functions, the kernel __k__ taking values in ℒ︁(__X__ , __Y__ ). The main result is a HΓΆrmander‐type theorem giving sufficient conditions for the boundedness of such an

Representation of Generalized Fractional
Representation of Generalized Fractional Integrals in Terms of Laplace Transforms on Spaces Lp
✍ Virginia Kiryakova; R. K. Raina; Megumi Saigo πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 389 KB

In this paper the generalized fractional integration operators defined by KIRYAKOVA [6], [7] are expressed in terms of the Laplace transform L and its inverse L -' . These decomposition results are established on L, spaces and some examples are deduced as their special cases.