UTMS 2006 – 9 May 8 , 2006 On the Young theorem for amalgams and Besov spaces

نویسندگان

  • Yoshihiro Sawano
  • Tsuyoshi Yoneda
چکیده

In this paper, we obtain a refinement of the Young theorem. The Young theorem tells us that the Fourier transform F sends the L functions to the Lp functions, if 1 ≤ p ≤ 2. This theorem has a refinement. For example, F : L → B ∞1, where B pq is the Besov space. In this present paper we shall consider the more refined version of this theorem by using the amalgams and the Besov spaces.

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

FIXED POINT THEOREM ON INTUITIONISTIC FUZZY METRIC SPACES

In this paper, we introduce intuitionistic fuzzy contraction mappingand prove a fixed point theorem in intuitionistic fuzzy metric spaces.

متن کامل

The Dilation Property of Modulation Spaces and Their Inclusion Relation with Besov Spaces

We consider the dilation property of the modulation spaces M. Let Dλ : f(t) 7→ f(λt) be the dilation operator, and we consider the behavior of the operator norm ‖Dλ‖Mp,q→Mp,q with respect to λ. Our result determines the best order for it, and as an application, we establish the optimality of the inclusion relation between the modulation spaces and Besov space, which was proved by Toft [9].

متن کامل

On the pointwise multiplication in Besov and Lizorkin-Triebel spaces

where F and B, with three indices, will denote the Lizorkin-Triebel space Fs p,q and the Besov space Bp,q, respectively. The different embeddings obtained here are under certain restrictions on the parameters. In this introduction, we will recall the definition of some spaces and some necessary tools. In Sections 2 and 3, we give the first contribution of this work. The theorems of Section 2 wi...

متن کامل

Littlewood-paley Theorem for Schrödinger Operators

Let H be a Schrödinger operator on R. Under a polynomial decay condition for the kernel of its spectral operator, we show that the Besov spaces and Triebel-Lizorkin spaces associated with H are well defined. We further give a Littlewood-Paley characterization of Lp spaces as well as Sobolev spaces in terms of dyadic functions of H . This generalizes and strengthens the previous result when the ...

متن کامل

A common fixed point theorem for weakly compatible maps satisfying common property (E:A:) and implicit relation in intuitionistic fuzzy metric spaces

In this paper, employing the common property ($E.A$), we prove a common fixed theorem for weakly compatible mappings via an implicit relation in Intuitionistic fuzzy metric space. Our results generalize the results of S. Kumar [S. Kumar, {it Common fixed point theorems in Intuitionistic fuzzy metric spaces using property (E.A)}, J. Indian Math. Soc., 76 (1-4) (2009), 94--103] and C. Alaca et al...

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 2006