Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space

Aigerim KALYBAY; Ryskul OINAROV

Article Details

Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space

Authors:

Aigerim KALYBAY | Ryskul OINAROV

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2019 Vol.43 Issue 1, pp.301-315

Document Type:

Article

Publication Date:

1/2019

Document Language:

Turkish

Document ID (Org No.):

2000745692

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Abstract:

 

In this paper, for a wide class of integral operators, we consider the problem of their boundedness from a weighted Sobolev space to a weighted Lebesgue space. The crucial step in the proof of the main result is to use the equivalence of the basic inequality and certain Hardy-type inequality, so we first state and prove this equivalence.

Article Details

Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space

Authors: Aigerim KALYBAY | Ryskul OINAROV

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2019 Vol.43 Issue 1, pp.301-315

Document Type: Article

Publication Date: 1/2019

Document Language: Turkish

Document ID (Org No.): 2000745692

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Issues

Authors:

Aigerim KALYBAY | Ryskul OINAROV

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2019 Vol.43 Issue 1, pp.301-315

Document Type:

Article

Publication Date:

1/2019

Document Language:

Turkish

Document ID (Org No.):

2000745692

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098