Quasi-Metric Spaces and Composition Operators on B*α, log and Q*p, log Spaces

Kamal, Aref; Ahmed, A. El‐Sayed; Yassen, T. I.

doi:10.1166/jctn.2015.3960

j comput theor nanosci

2015

DOI: 10.1166/jctn.2015.3960

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Quasi-Metric Spaces and Composition Operators on B_{α, log} and Q_{p, log} Spaces

Aref Kamal¹,

A. El‐Sayed Ahmed²,

T. I. Yassen³

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Cited by 3 publications

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“…El-Sayed and Bakhit [5] gave the following definition: Where |I| denotes the arc length of I ⊂ ∂D and S(I) is the Carleson box defined by (see [8,6])…”

mentioning

confidence: 99%

D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces

Kamal

Yassen²

2020

Cubo

Self Cite

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The aim of this paper is to introduce new hyperbolic classes of functions, which will be called B * α, log and F * log (p, q, s) classes. Furthermore, we introduce D-metrics space in the hyperbolic type classes B * α, log and F * log (p, q, s). These classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, necessary and sufficient conditions are given for the composition operator C φ to be bounded and compact from B * α, log to F * log (p, q, s) spaces. RESUMEN El objetivo de este artículo es introducir nuevas clases hiperbólicas de funciones, que serán llamadas clases B * α, log y F * log (p, q, s). A continuación, introducimos D-espacios métricos en las clases de tipo hiperbólicas B * α, log y F * log (p, q, s). Mostramos que estas clases son espacios métricos completos con respecto a las métricas correspondientes. Más aún, damos condiciones necesarias y suficientes para que el operador composición C φ sea acotado y compacto desde el espacio B * α, log a F * log (p, q, s).

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“…El-Sayed and Bakhit [5] gave the following definition: Where |I| denotes the arc length of I ⊂ ∂D and S(I) is the Carleson box defined by (see [8,6])…”

mentioning

confidence: 99%

D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces

Kamal

Yassen²

2020

Cubo

Self Cite

View full text Add to dashboard Cite

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General weighted class of quaternion-valued functions with lacunary series expansions

Kamal

Yassen

2022

Afr. Mat.

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Certain Classes of Operators on Some Weighted Hyperbolic Function Spaces

Ahmed

Shammaky

2021

Journal of Mathematics

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Quasi-Metric Spaces and Composition Operators on B_{α, log} and Q_{p, log} Spaces

Cited by 3 publications

References 0 publications

D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces

D-metric Spaces and Composition Operators Between Hyperbolic Weighted Family of Function Spaces

General weighted class of quaternion-valued functions with lacunary series expansions

Certain Classes of Operators on Some Weighted Hyperbolic Function Spaces

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