A note concerning Marcinkiewicz integral with rough kernel

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Atıf İçin Kopyala

Gürbüz F.

Infinite Dimensional Analysis, Quantum Probability and Related Topics, cilt.24, sa.1, 2021 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 24 Sayı: 1
• Basım Tarihi: 2021
• Doi Numarası: 10.1142/s0219025721500053
• Dergi Adı: Infinite Dimensional Analysis, Quantum Probability and Related Topics
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
• Anahtar Kelimeler: L p boundedness, Marcinkiewicz integral, rough kernel
• Hakkari Üniversitesi Adresli: Evet

Özet

In this paper, applying some properties of rough kernel and using some technical lemmas, we prove various norm inequalities concerning Marcinkiewicz integral with rough kernel. Indeed, we extend some known results on singular integrals to Marcinkiewicz integrals.