کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9502680 | 1339531 | 2005 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Hölder condition at infinity
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Hölder condition at infinity Sobolev's inequality for Riesz potentials with variable exponent satisfying a log-Hölder condition at infinity](/preview/png/9502680.png)
چکیده انگلیسی
Our aim in this paper is to deal with the boundedness of maximal functions in generalized Lebesgue spaces Lp(â
) when p(â
) satisfies a log-Hölder condition at infinity that is weaker than that of Cruz-Uribe, Fiorenza and Neugebauer [D. Cruz-Uribe, A. Fiorenza, C.J. Neugebauer, The maximal function on variable Lp spaces, Ann. Acad. Sci. Fenn. Math. 28 (2003) 223-238; 29 (2004) 247-249]. Our result extends the recent work of Diening [L. Diening, Maximal functions on generalized Lp(â
) spaces, Math. Inequal. Appl. 7 (2004) 245-254] and the authors Futamura and Mizuta [T. Futamura, Y. Mizuta, Sobolev embeddings for Riesz potential space of variable exponent, preprint]. As an application of the boundedness of maximal functions, we show Sobolev's inequality for Riesz potentials with variable exponent.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 311, Issue 1, 1 November 2005, Pages 268-288
Journal: Journal of Mathematical Analysis and Applications - Volume 311, Issue 1, 1 November 2005, Pages 268-288
نویسندگان
Yoshihiro Mizuta, Tetsu Shimomura,