HARDY SPACE OF LOMMEL FUNCTIONS

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Hardy space of operator-valued analytic functions

We are concerned with Hardy and BMO spaces of operator-valued functions analytic in the unit disk of C. In the case of the Hardy space, we involve the atomic decomposition since the usual argument in the scalar setting is not suitable. Several properties (the Garsia-norm equivalent theorem, Carleson measure, and so on) of BMOA spaces are extended to the operator-valued setting. Then, the operat...

متن کامل

Lommel Matrix Functions

The main objective of this work is to develop a pair of Lommel matrix functions suggested by the hypergeometric matrix functions and some of their properties are studied. Some properties of the hypergeometric and Bessel matrix functions are obtained.

متن کامل

The Zeros of Certain Lommel Functions

Lommel’s function sμ,ν(z) is a particular solution of the differential equation z2y′′ + zy′ + (z2 − ν2)y = zμ+1. Here we present estimates and monotonicity properties of the positive zeros of sμ−1/2,1/2(z) when μ ∈ (0, 1). The positivity of a closely related integral is also considered.

متن کامل

Constrained Hardy space approximation

We consider the problem of minimizing the distance ‖f − φ‖Lp(K), where K is a subset of the complex unit circle ∂D and φ ∈ C(K), subject to the constraint that f lies in the Hardy space H(D) and |f | ≤ g for some positive function g. This problem occurs in the context of filter design for causal LTI systems. We show that the optimization problem has a unique solution, which satisfies an extrema...

متن کامل

Inverses of Hardy L-functions

Hardy conjectured that there exists an L-function whose inverse is not asymptotic to any L-function. We show that this is true of the L-function log(logx)log(log(logx)).

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: Bulletin of the Korean Mathematical Society

سال: 2015

ISSN: 1015-8634

DOI: 10.4134/bkms.2015.52.3.1035