کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615010 1339306 2015 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Characterization of the central Campanato space via the commutator operator of Hardy type
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Characterization of the central Campanato space via the commutator operator of Hardy type
چکیده انگلیسی

Let 1≤p<∞1≤p<∞ and −1/p<λ<1/n−1/p<λ<1/n. Then a function f∈Llocp(Rn) is said to belong to the central Campanato space C˙p,λ(Rn) if‖f‖C˙p,λ(Rn)=supr>0⁡1|B(0,r)|λ(1|B(0,r)|∫B(0,r)|f−fB(0,r)|pdx)1/p<∞, where B(0,r)B(0,r) denotes the ball centered at 0 with radius r>0r>0 and fB(0,r)=1|B(0,r)|∫B(0,r)f(y)dy. There are many known characterizations of C˙p,λ(Rn) for 0≤λ<1/n0≤λ<1/n. The aim of this paper is to introduce some characterizations of C˙p,λ(Rn) for −1/p<λ<0−1/p<λ<0, via the boundedness of commutator operators of Hardy type. Some more explicit decompositions of these operators and the space C˙p,λ(Rn), which are different from that of λ≥0λ≥0, are here proposed to overcome the difficulties caused by λ<0λ<0. Moreover, some further interesting boundedness for the Hardy type operators is also obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 429, Issue 2, 15 September 2015, Pages 713–732
نویسندگان
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