Boundedness of commutators of strongly singular convolution operators on Herz-type spaces

Zongguang Liu

Zongguang Liu

Studia Mathematica, Tome 157 (2003), p. 33-46 / Harvested from The Polish Digital Mathematics Library

Résumé

The author investigates the boundedness of the higher order commutator of strongly singular convolution operator, $T_{b}^{m}$ , on Herz spaces $K ̇_{q}^{α, p} (ℝ ⁿ)$ and $K_{q}^{α, p} (ℝ ⁿ)$ , and on a new class of Herz-type Hardy spaces $H K ̇_{q, b, m}^{α, p, 0} (ℝ ⁿ)$ and $H K_{q, b, m}^{α, p, 0} (ℝ ⁿ)$ , where 0 < p ≤ 1 < q < ∞, α = n(1-1/q) and b ∈ BMO(ℝⁿ).

Publié le : 2003-01-01

Zbl 1024.42009

EUDML-ID : urn:eudml:doc:285010

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     author = {Zongguang Liu},
     title = {Boundedness of commutators of strongly singular convolution operators on Herz-type spaces},
     journal = {Studia Mathematica},
     volume = {157},
     year = {2003},
     pages = {33-46},
     zbl = {1024.42009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm157-1-3}
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Zongguang Liu. Boundedness of commutators of strongly singular convolution operators on Herz-type spaces. Studia Mathematica, Tome 157 (2003) pp. 33-46. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm157-1-3/