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

Aigerim KALYBAY; Ryskul OINAROV

Makale detayları

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

Yazarlar:

Aigerim KALYBAY | Ryskul OINAROV

Yayıncı:

TUBITAK

Dergi:

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

Belge Tipi:

Makale

Yayın Tarihi:

1/2019

Belge Dili:

Türkçe

Document ID (Org No.):

2000745692

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

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.

Makale detayları

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

Yazarlar: Aigerim KALYBAY | Ryskul OINAROV

Yayıncı: TUBITAK

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

Belge Tipi: Makale

Yayın Tarihi: 1/2019

Belge Dili: Türkçe

Document ID (Org No.): 2000745692

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Aigerim KALYBAY | Ryskul OINAROV

Yayıncı:

TUBITAK

Dergi:

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

Belge Tipi:

Makale

Yayın Tarihi:

1/2019

Belge Dili:

Türkçe

Document ID (Org No.):

2000745692

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098