The Product of Automorphic Weighted Composition Operators on Hardy Space H
 2

Eiman H. Abood

doi:10.1088/1742-6596/1530/1/012045

Details

Publication Date

Fri May 01 2020

Journal Name

Journal Of Physics: Conference Series

Volume

1530

DOI

10.1088/1742-6596/1530/1/012045

Choose Citation Style

Statistics

View publication

31

Statistics

The Product of Automorphic Weighted Composition Operators on Hardy Space H 2

Eiman H. Abood

...Show More Authors

AbstractLet <inline-formula> <tex-math><?CDATA $n\in {\mathbb{N}},{p}_{i}\in {\rm{U}},{\alpha }_{{P}_{i}}(z)=\frac{{p}_{i}-z}{1-{\bar{p}}_{i}z}(z\in {\rm{U}})$?></tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mrow> <mi>n</mi> <mo>∈</mo> <mi>ℕ</mi> <mo>,</mo> <msub> <mi>p</mi> <mi>i</mi> </msub> <mo>∈</mo> <mi mathvariant="normal">U</mi> <mo>,</mo> <msub> <mi>α</mi> <mrow> <msub> <mi>P</mi> <mi>i</mi> </msub> </mrow> </msub> <mo stretchy="false">(</mo> <mi>z</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mfrac> <mrow> <msub> <mi>p</mi> <mi>i</mi> </msub> <mo>−</mo> <mi>z</mi> </mrow> <mrow> <mn>1</mn> <mo>−</mo> <msub> <mover accent="true"> <mi>p</mi> <mo>¯</mo> </mover> <mi>i</mi> </msub> <mi>z</mi> </mrow> </mfrac> <mo stretchy="false">(</mo> <mi>z</mi> <mo>∈</mo> <mi mathvariant="normal">U</mi> <mo stretchy="false">)</mo> </mrow> </math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1530_1_012045_ieqn1.gif" xlink:type="simple"></inline-graphic> </inline-formula>, and let <inline-formula> <tex-math><?CDATA ${f}_{1}\in {H}^{\infty },i=1,\ldots,n$?></tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mrow> <msub> <mi>f</mi> <mn>1</mn> </msub> <mo>∈</mo> <msup> <mi>H</mi> <mi>∞</mi> </msup> <mo>,</mo> <mi>i</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mo>…</mo> <mo>,</mo> <mi>n</mi> </mrow> </math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1530_1_012045_ieqn2.gif" xlink:type="simple"></inline-graphic> </inline-formula>. We discuss the relation between the points <italic>pi </italic> in U and the functions <italic>fi </italic> in U and the properties of the product of automorphic weighted composition operators <inline-formula> <tex-math><?CDATA ${W}_{{f}_{1},{\alpha }_{{p}_{1}}}\,{W}_{{f}_{2},{\alpha }_{{p}_{2}}}\ldots {W}_{{f}_{i},{\alpha }_{pi}}$?></tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mrow> <msub> <mi>W</mi> <mrow> <msub> <mi>f</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>α</mi> <mrow> <msub> <mi>p</mi> <mn>1</mn> </msub> </mrow> </msub> </mrow> </msub> <mspace width="0.25em"></mspace> <msub> <mi>W</mi> <mrow> <msub> <mi>f</mi> <mn>2</mn> </msub> <mo>,</mo> <msub> <mi>α</mi> <mrow> <msub> <mi>p</mi> <mn>2</mn> </msub> </mrow> </msub> </mrow> </msub> <mo>…</mo> <msub> <mi>W</mi> <mrow> <msub> <mi>f</mi> <mi>i</mi> </msub> <mo>,</mo> <msub> <mi>α</mi> <mrow> <mi>p</mi> <mi>i</mi> </mrow> </msub> </mrow> </msub> </mrow> </math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1530_1_012045_ieqn3.gif" xlink:type="simple"></inline-graphic> </inline-formula> on Hardy space H2. In fact, it is very nice connection between analytic function theory and operator theory. In this paper, we give the sufficient and necessary conditions to be normal, unitary, hermitian operator on <italic>H</italic> 2 and we shall present the shape of the numerical range of it.

View Publication

Publication Date

Sat Jan 01 2011

Journal Name

Iraqi Journal Of Physics

Study of annealing effect on some Optical Properties of CuIn(SexTe1-x)2 Thin Films

CuIn(SexTe1-x)2

Iftikhar M.

...Show More Authors

The optical properties for the components CuIn(SexTe1-x)2 thin films with both values of selenium content (x) [0.4 and 0.6] are studied. The films have been prepared by the vacuum thermal evaporation method with thickness of (250±5nm) on glass substrates. From the transmittance and absorbance spectra within the range of wavelength (400-900)nm, we determined the forbidden optical energy gap (Egopt) and the constant (B). From the studyingthe relation between absorption coefficient (α) photon energy, we determined the tails width inside the energy gap.
The results showed that the optical transition is direct; we also found that the optical energy gap increases with annealing temperature and selenium content (x). However, the width of l

View Publication Preview PDF

Publication Date

Mon Jan 01 2024

Journal Name

Open Engineering

Effect of nano-TiO2 on physical and rheological properties of asphalt cement

nanomaterial

TiO2

DSR

BBR

asphalt

Ahmed Mahir

Alaa H.

...Show More Authors

AbstractIn recent years, nano-modified asphalt has gained significant attraction from researchers in the design of asphalt pavement fields. The recently discovered Titanium dioxide nanoparticles (TiO2) are among the most exciting and promising nanomaterials. This study examines the effect of 1, 3, 5, and 7% of nano-TiO2 by weight of asphalt on some of its rheological and hardened properties. The experimental study included physical and rheological properties. The asphalt penetration, softening point, ductility, and rotational viscometer tests indicate that 5% nano-TiO2 is the ideal amount to be added to bitumen as a modifier. The ... Show More

View Publication Preview PDF

(15)

(13)

Publication Date

Sun Aug 15 2021

Journal Name

Al-qadisiyah Journal Of Pure Science Vol.(26) Issue (special Issue Num.4) (2021) Pp. 30–33

Accounts for the groups (2, ), = 41 and 43

Niran

Sherouk Awad

...Show More Authors

Publication Date

Tue Mar 30 2021

Journal Name

Journal Of Interdisciplinary Mathematics

Computations for the special linear group (2, 49)

Jasim N.S.

Hadeel Hussein

Rana Noori

...Show More Authors

View Publication

(16)

(7)

Publication Date

Tue May 01 2018

Journal Name

Journal Of Physics: Conference Series

The partial substitution of copper with nickel oxide on the Structural and electrical properties of HgBa2 Ca2 Cu3xNix O8+δ superconducting compound

Laheeb A

L A

...Show More Authors

View Publication

(32)

(15)

Publication Date

Fri Dec 19 2014

Journal Name

Al-mustansiriyah

Synthesis, Spectroscopic and Antibacterial Studies of N (2-amino phenyl)-N-((pyridine-2-yl) methyl) Benzene-1, 2-Diamine Complexes

Shaimaa

...Show More Authors

Publication Date

Fri Feb 01 2019

Journal Name

Journal Of Physics: Conference Series

Study the effect of gamma Irradiation on the Superconducting Properties of HgBaSrCa2Cu3O8+δ

Suad

Anaam

Hind

Rihab

Kareem

...Show More Authors

View Publication

(4)

(5)

Publication Date

Sun Sep 01 2019

Journal Name

Journal Of Physics: Conference Series

Integral transforms defined by a new fractional class of analytic function in a complex Banach space

Ahmed E. Abdul-Nabi

Zainab Esa

...Show More Authors

AbstractIn this effort, we define a new class of fractional analytic functions containing functional parameters in the open unit disk. By employing this class, we introduce two types of fractional operators, differential and integral. The fractional differential operator is considered to be in the sense of Ruscheweyh differential operator, while the fractional integral operator is in the sense of Noor integral. The boundedness and compactness in a complex Banach space are discussed. Other studies are illustrated in the sequel.

View Publication

(3)

Publication Date

Fri May 01 2015

Journal Name

Journal Of The Faculty Of Medicine

Gentamycin injection in disc space during lumbar discectomy (aiming to prevent post - operative discitis)

Ali Tarik

...Show More Authors

AW Ali T, Journal of the Faculty of Medicine, 2015 - Cited by 3

View Publication

Publication Date

Tue Jan 01 2019

Journal Name

International Journal Of Civil Engineering And Technology

Generalized tupled common fixed point theorems for weakly compatible mappings in fuzzy metric space

Maibed

...Show More Authors

(11)

1 2 ... 43 44 45 46 ... 2834 2835