Composition Operator on the Space of Functions Triebel-lizorkin and Bounded Variation Type

نویسنده

  • M. MOUSSAI
چکیده

For a Borel-measurable function f : R→ R satisfying f(0) = 0 and

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Triebel–Lizorkin space estimates for multilinear operators of sublinear operators

Let T be the singular integral operator, a well-known result of Coifman, Rochberg and Weiss [6] which states that the commutator [b,T ] = T (b f )− bT f (where b ∈ BMO) is bounded on Lp(Rn)(1 < p < ∞). Chanillo [1] proves a similar result when T is replaced by the fractional integral operator. In [9,11], these results on the Triebel–Lizorkin spaces and the case b∈Lipβ (where Lipβ is the homogen...

متن کامل

Conditions on composition operators which map a space of Triebel - Lizorkin type into a Sobolev space . The case 1 < s < n / p . II

Let G : R → R be a continuous function. Denote by TG the corresponding composition operator which sends f to G(f). Then we investigate necessary and sufficient conditions on the parameters s, p, q, r and on the function G such that an inclusion like TG (F s p,q (R)) ⊂Wm p (R) is true. Here F s p,q denotes a space of Triebel-Lizorkin type and W p denotes a Sobolev space, respectively. Necessary ...

متن کامل

Besov-Type and Triebel–Lizorkin-Type Spaces Associated with Heat Kernels

Let (M,ρ, μ) be an RD-space satisfying the non-collapsing condition. In this paper, the authors introduce Besov-type spaces B p,q (M) and Triebel–Lizorkin-type spaces F s,τ p,q (M) associated to a non-negative self-adjoint operator L whose heat kernels satisfy some Gaussian upper bound estimate, Hölder continuity, and the stochastic completeness property. Characterizations of these spaces via P...

متن کامل

Continuity of Multilinear Operators on Triebel-lizorkin Spaces

Let T be the Calderón-Zygmund singular integral operator, a well-known result of Coifman et al. (see [6]) states that the commutator [b,T]( f ) = T(b f )− bT( f ) (where b ∈ BMO) is bounded on Lp(Rn) (1 < p <∞); Chanillo (see [1]) proves a similar result when T is replaced by the fractional integral operator; in [8, 9], these results on the TriebelLizorkin spaces and the case b ∈ Lipβ (where Li...

متن کامل

Lipschitz Estimates for Multilinear Commutator of Littlewood-paley Operator

Let T be the Calderón-Zygmund operator, Coifman, Rochberg and Weiss (see [4]) proves that the commutator [b, T ](f) = bT (f) − T (bf)(where b ∈ BMO(R)) is bounded on L(R) for 1 < p <∞. Chanillo (see [2]) proves a similar result when T is replaced by the fractional operators. In [8, 16], Janson and Paluszynski study these results for the Triebel-Lizorkin spaces and the case b ∈ Lipβ(R), where Li...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012