Radial functions and invariant convolution operators

نویسندگان

چکیده

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Convolution Operators and Zeros of Entire Functions

Let G(z) be a real entire function of order less than 2 with only real zeros. Then we classify certain distributions functions F such that the convolution (G ∗ dF )(z) = ∫∞ −∞G(z − is) dF (s) has only real zeros.

متن کامل

Convolution Operators on Banach Space Valued Functions.

The purpose of this paper is to obtain systematically certain classical inequalities concerning the Hilbert transform, the function g of Littlewood and Paley, their generalizations to several variables, and related results.t This we accomplish by establishing certain inequalities for convolution operators on Banach space valued functions. Given a Banach space B, If I will denote the norm of the...

متن کامل

Weak Type Radial Convolution Operators on Free Group

Radial convolution operators on free groups with non-negative kernel of weak type (2, 2) and of restricted weak type (2, 2) are characterized. Estimates of weak type (p, p) are obtained as well for 1 < p < 2.

متن کامل

Convolution Operators and Entire Functions with Simple Zeros

Let G(z) be an entire function of order less than 2 that is real for real z with only real zeros. Then we classify certain distribution functions F such that the convolution (G ∗ dF )(z) = ∫∞ −∞ G(z − is) dF (s) of G with the measure dF has only real zeros all of which are simple. This generalizes a method used by Pólya to study the Riemann zeta function.

متن کامل

Spherical Maximal Operators on Radial Functions

where dσ is the rotationally invariant measure on Sd−1, normalized such that σ(Sd−1) = 1. Stein [5] showed that limt→0Atf(x) = f(x) almost everywhere, provided f ∈ L(R), p > d/(d − 1) and d ≥ 3. Later Bourgain [1] extended this result to the case d = 2. If p ≤ d/(d − 1) then pointwise convergence fails. However if {tj}j=1 is a fixed sequence converging to 0 then pointwise convergence may hold f...

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

ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1984

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-1984-0760979-0