Boundedness in weighted L_p spaces for the Kontorovich–Lebedev–Fourier generalized convolutions and applications

Pham Van HoangHanoi Department of Education and Training, Kim Lien High School, Hanoi, VietnamCorrespondence[email protected]

Tuan TrinhDepartment of Mathematics, Electric Power University, Hanoi, Vietnam

Xuan Thao NguyenDepartment of Mathematics, School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam

Vu Kim TuanDepartment of Mathematics, University of West Georgia, Carrollton, GA, USA

ABSTRACT

In this paper several weighted $L_{p}$ -norm inequalities (p>1) for the Kontorovich–Lebedev–Fourier generalized convolutions are obtained. With the help of these inequalities we consider a parabolic integro-differential equation of second order and study the boundedness of its solution in weighted $L_{p}$ spaces. Moreover, the boundedness of a scattered acoustic field in weighted $L_{p}$ spaces is also obtained.

KEYWORDS:

AMS SUBJECT CLASSIFICATION:

Disclosure statement

No potential conflict of interest was reported by the authors.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Boundedness in weighted L_p spaces for the Kontorovich–Lebedev–Fourier generalized convolutions and applications

Information for

Open access

Opportunities

Help and information

Boundedness in weighted Lp spaces for the Kontorovich–Lebedev–Fourier generalized convolutions and applications

ABSTRACT

Disclosure statement

Reprints and Corporate Permissions

Academic Permissions

Related research

To cite this article:

Download citation

Information for

Open access

Opportunities

Help and information

Keep up to date

Your download is now in progress and you may close this window

Login or register to access this feature

Boundedness in weighted L_p spaces for the Kontorovich–Lebedev–Fourier generalized convolutions and applications