کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4616946 | 1339364 | 2013 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Maximal, potential and singular operators in the local “complementary” variable exponent Morrey type spaces
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider local “complementary” generalized Morrey spaces âM{x0}p(â
),Ï(Ω) in which the p-means of function are controlled over ΩâB(x0,r) instead of B(x0,r), where ΩâRn is a bounded open set, p(x) is a variable exponent, and no monotonicity type condition is imposed onto the function Ï(r) defining the “complementary” Morrey-type norm. In the case where Ï is a power function, we reveal the relation of these spaces to weighted Lebesgue spaces. In the general case we prove the boundedness of the Hardy-Littlewood maximal operator and Calderon-Zygmund singular operators with standard kernel, in such spaces. We also prove a Sobolev type âM{x0}p(â
),Ï(Ω)ââM{x0}q(â
),Ï(Ω)-theorem for the potential operators Iα(â
), also of variable order. In all the cases the conditions for the boundedness are given it terms of Zygmund-type integral inequalities on Ï(r), which do not assume any assumption on monotonicity of Ï(r).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 401, Issue 1, 1 May 2013, Pages 72-84
Journal: Journal of Mathematical Analysis and Applications - Volume 401, Issue 1, 1 May 2013, Pages 72-84
نویسندگان
Vagif S. Guliyev, Javanshir J. Hasanov, Stefan G. Samko,