Object structure

Publication Details:

Established in 2008

Journal or Publication Title:

Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

Date of publication:

2008

Volume:

1

Number:

4

ISSN:

1829-1163

Official URL:


Title:

Weighted $L_P-$ Norm Inequalities For Various Convolution Type Transformations And Their Applications

Creator:

Nguyen Du Vi Nhan ; Dinh Thanh Duc ; Vu Kim Tuan

Corporate Creators:

Department of mathematics, Quy Nhon University, Binh Dinh, Vietnam. ; Department of mathematics, University of West Georgia, Carrollton, GA30118, USA

Contributor(s):

Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան

Subject:

Partial differential equations ; Integral transforms, operational calculus

Coverage:

1-18

Abstract:

In this paper we introduce several iterated convolutions and establish weighted $L_p,\ p > 1,-$ norm inequalities for them by using the H\"{o}lder’s inequality and the transform of integrals. Applications to wave and heat equations, Klein-Gordon equation are also considered. Especially, we will see their applications to inhomogeneous differential equations.

Publisher:

National Academy of Sciences of Armenia

Date created:

2009-01-08

Type:

Հոդված

Format:

pdf

General note:

Electronic Open Access Publication of the National Academy of Sciences of Armenia

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան