Vector-valued singular integral operators on Morrey type spaces and variable Triebel-Lizorkin-Morrey spaces
نویسندگان
چکیده
منابع مشابه
A quarkonial decomposition of Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces
The aim of this paper is to define the Besov-Morrey spaces and the TriebelLizorkin-Morrey spaces and to present a decomposition of functions belonging to these spaces. Our results contain an answer to the conjecture proposed by Mazzucato.
متن کاملBoundedness of Rough Integral Operators on Triebel-lizorkin Spaces
We prove the boundedness of several classes of rough integral operators on Triebel-Lizorkin spaces. Our results represent improvements as well as natural extensions of many previously known results. 2010 Mathematics Subject Classification: Primary: 42B20; Secondary: 42B15, 42B25.
متن کاملGeneralized Fractional Integral Operators on Vanishing Generalized Local Morrey Spaces
In this paper, we prove the Spanne-Guliyev type boundedness of the generalized fractional integral operator Iρ from the vanishing generalized local Morrey spaces V LM {x0} p,φ1 to V LM {x0} q,φ2 , 1 < p < q < ∞, and from the space V LM {x0} 1,φ1 to the weak space VWLM {x0} q,φ2 , 1 < q < ∞. We also prove the Adams-Guliyev type boundedness of the operator Iρ from the vanishing generalized Morrey...
متن کاملOn dilation operators in Triebel-Lizorkin spaces
We consider dilation operators Tk : f → f(2 k ·) in the framework of Triebel-Lizorkin spaces F s p,q(R ). If s > n max ` 1 p − 1, 0 ́ , Tk is a bounded linear operator from F s p,q(R ) into itself and there are optimal bounds for its norm. We study the situation on the line s = n max ` 1 p − 1, 0 ́ , an open problem mentioned in [ET96, 2.3.1]. It turns out that the results shed new light upon the...
متن کاملLittlewood-Paley Operators on Morrey Spaces with Variable Exponent
By applying the vector-valued inequalities for the Littlewood-Paley operators and their commutators on Lebesgue spaces with variable exponent, the boundedness of the Littlewood-Paley operators, including the Lusin area integrals, the Littlewood-Paley g-functions and g μ *-functions, and their commutators generated by BMO functions, is obtained on the Morrey spaces with variable exponent.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Mathematica
سال: 2012
ISSN: 1239-629X,1798-2383
DOI: 10.5186/aasfm.2012.3746