BOUNDEDNESS OF GENERALLY FRACTIONAL INTEGRAL OPERATOR ON GENERAL MORREY SPACE

  • Lina Nurhayati Universitas Sangga Buana
  • Hendra Gunawan Istitut Teknologi Bandung
  • Iwan Gunawan Universitas Langlang Buana
  • Haryono Edi Hermawan
Keywords: BOUNDEDNESS, GENERALLY FRACTIONAL, INTEGRAL OPERATOR, GENERAL, MORREY SPACE

Abstract

In this study, I will discuss the limits of fractional integral operators in the homogeneous and nonhomogeneous Lebesgue space, the Morrey space and the general Morrey space. In particular, in this study it will be proven that the fractional integral boundaries formulated in the Morrey space are generally not homogeneous. Evidence of integral fractional boundaries formulated in the Morrey space is generally not homogeneous using the specified maximum operator properties in space and using Hedberg's inequality. This evidence is an extension of Hardy-Littlewood-Sobolev's inequality [11, 22]. My research related to BOUNDEDNESS OF GENERALLY FRACTIONAL INTEGRAL OPERATOR ON GENERAL MORREY SPACE as a scientific work that must be published in an international journal, as for the results I present in this journal, is the result of research

Published
2019-07-31
How to Cite
Nurhayati, L., Gunawan, H., Gunawan, I., & Hermawan, H. E. (2019). BOUNDEDNESS OF GENERALLY FRACTIONAL INTEGRAL OPERATOR ON GENERAL MORREY SPACE. IJO - International Journal of Mathematics (ISSN: 2992-4421 ), 2(07), 01-09. Retrieved from http://ijojournals.com/index.php/m/article/view/191
Issue
Vol 2 No 07 (2019): IJO - International Journal of Mathematics
Section
Articles

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