Generalized Sobolev-Shubin spaces, boundedness and Schatten class properties of Toeplitz operators

Ayşe SANDIKÇI; Ahmet Turan GÜRKANLI

Makale detayları

Generalized Sobolev-Shubin spaces, boundedness and Schatten class properties of Toeplitz operators

Yazarlar:

Ayşe SANDIKÇI | Ahmet Turan GÜRKANLI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 4, pp.676-692

Belge Tipi:

Makale

Yayın Tarihi:

3/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000747578

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

Let w and w be two weight functions on R2d and   1 \leq p,q \leq \infty.  Also let M(p,q,w) (Rd) denote the  subspace of tempered distributions S' (Rd) consisting of f \in S'  (Rd) such that the Gabor transform Vg f of f is in the weighted  Lorentz space L(p,q,w dm) (R2d) .  In the present paper we  define a space Qg,w^{M(p,q,w) (R^d) as counter image of  M(p,q,w) (R^d) under Toeplitz operator with symbol w.  We show  that Qg,w^{M(p,q,w)}(R^d) is a generalization of usual  Sobolev-Shubin space Qs (R^d).  We also investigate the boundedness  and Schatten-class properties of Toeplitz operators.

 

Let w and w be two weight functions on R2d and   1 \leq p,q \leq \infty.  Also let M(p,q,w) (Rd) denote the  subspace of tempered distributions S' (Rd) consisting of f \in S'  (Rd) such that the Gabor transform Vg f of f is in the weighted  Lorentz space L(p,q,w dm) (R2d) .  In the present paper we  define a space Qg,w^{M(p,q,w) (R^d) as counter image of  M(p,q,w) (R^d) under Toeplitz operator with symbol w.  We show  that Qg,w^{M(p,q,w)}(R^d) is a generalization of usual  Sobolev-Shubin space Qs (R^d).  We also investigate the boundedness  and Schatten-class properties of Toeplitz operators.

Makale detayları

Generalized Sobolev-Shubin spaces, boundedness and Schatten class properties of Toeplitz operators

Yazarlar:

Ayşe SANDIKÇI | Ahmet Turan GÜRKANLI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 4, pp.676-692

Belge Tipi:

Makale

Yayın Tarihi:

3/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000747578

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Sobolev-Shubin space

Gabor transform

modulation space

weighted Lorentz space

Toeplitz operators

Schatten-class

Sayı

Makale detayları

Generalized Sobolev-Shubin spaces, boundedness and Schatten class properties of Toeplitz operators

Yazarlar: Ayşe SANDIKÇI | Ahmet Turan GÜRKANLI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2013 Vol.37 Issue 4, pp.676-692

Belge Tipi: Makale

Yayın Tarihi: 3/2013

Belge Dili: Türkçe

Document ID (Org No.): 2000747578

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sobolev-Shubin space

Gabor transform

modulation space

weighted Lorentz space

Toeplitz operators

Schatten-class

Sayı

Yazarlar:

Ayşe SANDIKÇI | Ahmet Turan GÜRKANLI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2013 Vol.37 Issue 4, pp.676-692

Belge Tipi:

Makale

Yayın Tarihi:

3/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000747578

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098