Meda Inequality for Rearrangements of the Convolution on the Heisenberg Group and Some Applications

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Atıf İçin Kopyala

Guliyev V. S., ŞERBETÇİ A., Guner E., Balci S.

JOURNAL OF INEQUALITIES AND APPLICATIONS, cilt.2009, 2009 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 2009
• Basım Tarihi: 2009
• Doi Numarası: 10.1155/2009/864191
• Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Ankara Üniversitesi Adresli: Evet

Özet

The Meda inequality for rearrangements of the convolution operator on the Heisenberg group H(n) is proved. By using the Meda inequality, an O'Neil-type inequality for the convolution is obtained. As applications of these results, some sufficient and necessary conditions for the boundedness of the fractional maximal operator M(Omega,alpha) a and fractional integral operator I(Omega,alpha) a with rough kernels in the spaces L(p)(H(n)) are found. Finally, we give some comments on the extension of our results to the case of homogeneous groups. Copyright (C) 2009 V. S. Guliyev et al.