Generalized parabolic Marcinkiewicz integrals associated with polynomial compound curves with rough kernels

• Autorzy: Ali Mohammed , Katatbeh Qutaibeh

Identyfikatory

DOI

10.1515/dema-2020-0004

• Języki publikacji: EN

Abstrakty

EN

In this article, we study the generalized parabolic parametric Marcinkiewicz integral operators M(r)Ω,h,Φ,λ related to polynomial compound curves. Under some weak conditions on the kernels, we establish appropriate estimates of these operators. By the virtue of the obtained estimates along with an extrapolation argument, we give the boundedness of the aforementioned operators from Triebel-Lizorkin spaces to Lp spaces under weaker conditions on Ω and h. Our results represent significant improvements and natural extensions of what was known previously.

Słowa kluczowe

EN

parametric Marcinkiewicz integrals; rough kernels; Triebel-Lizorkin spaces; extrapolation

PL

całki; ekstrapolacja; krzywe wielomianowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2020
• Tom: Vol. 53, nr 1
• Strony: 44--57
• Opis fizyczny: Bibliogr. 35 poz.

Twórcy

autor

Ali Mohammed

• Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan

autor

Katatbeh Qutaibeh

• Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).