کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615824 | 1339330 | 2014 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Averaging and orthogonal operators on variable exponent spaces Lp(⋅)(Ω)Lp(⋅)(Ω)
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Averaging and orthogonal operators on variable exponent spaces Lp(⋅)(Ω)Lp(⋅)(Ω) Averaging and orthogonal operators on variable exponent spaces Lp(⋅)(Ω)Lp(⋅)(Ω)](/preview/png/4615824.png)
چکیده انگلیسی
Given a measurable space (Ω,μ)(Ω,μ) and a sequence of disjoint measurable subsets A=(An)nA=(An)n, the associated averaging projection PAPA and the orthogonal projection TATA are considered. We study the boundedness of these operators on variable exponent spaces Lp(⋅)(Ω)Lp(⋅)(Ω). These operators are unbounded in general. Sufficient conditions on the sequence A in order to achieve that PAPA or TATA be bounded are given. Conditions which provide the boundedness of PAPA imply that TATA is also bounded. The converse is not true. Some applications are given. In particular, we obtain a sufficient condition for the boundedness of the Hardy–Littlewood maximal operator on spaces Lp(⋅)(Ω)Lp(⋅)(Ω).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 413, Issue 1, 1 May 2014, Pages 139–153
Journal: Journal of Mathematical Analysis and Applications - Volume 413, Issue 1, 1 May 2014, Pages 139–153
نویسندگان
Francisco L. Hernández, César Ruiz,