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Boundedness of Pseudo-Differential Operator for S0 Class

Journal Of Natural Sciences And Mathematics Research

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Title Boundedness of Pseudo-Differential Operator for S0 Class
 
Creator Habiburrohman, Muhammad
Oktaviani, Dinni Rahma
 
Subject Mathematics
Pseudo-differential operator; the class S0; Fourier invers function; Lebesgue space.
 
Description Pseudo-differential operator in a function space is obtained from the Fourier transform of this function space with a multiplier function. This paper will discuss and prove the boundedness of pseudo-differential operator in Lebesgue space with the multiplier function is in the class S0. The evolution of the pseudo-differential theory was then rapid. Based on development from this history, it has gave birth to the general definition of pseudo-differential operator that explain in this paper The general definition of pseudo-differential, of course has an applied or representation. One of them is the problem of partial differential equations in the Poisson equation  have the solution , and using Fourier transforms is obtained. In this case the form can be carried in the general form of a pseudo-differential operator. The  solution can be estimated for every if operator  is a bounded operator. In this paper, the operator defined with correspondes some symbol that describe this operator is more interest. The conclusion of this paper is the boundedness pseudo-differential operator , so we can estimated this number.©2020 JNSMR UIN Walisongo. All rights reserved.
 
Publisher Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang
 
Contributor —
 
Date 2022-04-04
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
—
 
Format application/pdf
 
Identifier https://journal.walisongo.ac.id/index.php/JNSMR/article/view/11219
10.21580/jnsmr.2020.6.2.11219
 
Source Journal Of Natural Sciences And Mathematics Research; Vol 6, No 2 (2020): Volume 6, Nomor 2, 2020; 43-48
2460-4453
2614-6487
 
Language eng
 
Relation https://journal.walisongo.ac.id/index.php/JNSMR/article/view/11219/3974
 
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