Sharp bounds for certain m-linear integral operators on p-adic function spaces

نویسندگان

چکیده

In this paper, we establish necessary and sufficient conditions for boundedness of m-linear p-adic integral operators with general homogeneous kernel on Lebesgue spaces Morrey spaces, respectively. each case, obtain the corresponding operator norms. Also, deal some particular examples compare them previously known from literature.

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

Sharp Weighted Bounds for Fractional Integral Operators

The relationship between the operator norms of fractional integral operators acting on weighted Lebesgue spaces and the constant of the weights is investigated. Sharp bounds are obtained for both the fractional integral operators and the associated fractional maximal functions. As an application improved Sobolev inequalities are obtained. Some of the techniques used include a sharp off-diagonal...

متن کامل

Sharp Estimates of m-Linear p-Adic Hardy and Hardy-Littlewood-Póya Operators

In recent years, p-adic numbers are widely used in theoretical and mathematical physics cf. 1–8 , such as string theory, statistical mechanics, turbulence theory, quantum mechanics, and so forth. For a prime number p, let Qp be the field of p-adic numbers. It is defined as the completion of the field of rational numbers Q with respect to the non-Archimedean p-adic norm | · |p. This norm is defi...

متن کامل

Sharp estimates for the p-adic Hardy type operators on higher-dimensional product spaces

In this paper, we introduce the p-adic Hardy type operator and obtain its sharp bound on the p-adic Lebesgue product spaces. Meanwhile, an analogous result is computed for the p-adic Lebesgue product spaces with power weights. In addition, we characterize a sufficient and necessary condition which ensures that the weighted p-adic Hardy type operator is bounded on the p-adic Lebesgue product spa...

متن کامل

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

15 صفحه اول

Towards a theory of some unbounded linear operators on p-adic Hilbert spaces and applications

We are concerned with some unbounded linear operators on the so-called p-adic Hilbert space Eω. Both the Closedness and the selfadjointness of those unbounded linear operators are investigated. As applications, we shall consider the diagonal operator on Eω, and the solvability of the equation Au = v where A is a linear operator on Eω. AMS subject classification. 47S10; 46S10; 47A05; 47B25.

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: Filomat

سال: 2022

ISSN: ['2406-0933', '0354-5180']

DOI: https://doi.org/10.2298/fil2203801b