Inequalities involving upper bounds for certain matrix operators

DOI10.1007/BF02829749zbMath1118.47024arXivmath/0609089OpenAlexW2087942809MaRDI QIDQ852450

Rahmatollah Lashkaripour, Davoud Foroutannia

Publication date: 29 November 2006

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609089

zbMATH Keywords

Hausdorff matrixHilbert matrixLorentz sequence spaceweighted sequence spacesummability matrix

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Matrix methods for summability (40C05) Sequence spaces (including Köthe sequence spaces) (46A45) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (9)

Upper bounds for the operator norms of Hausdorff matrices and Nörlund matrices on the Euler weighted sequence space ⋮ Estimation of upper bounds of certain matrix operators on binomial weighted sequence spaces ⋮ Norm inequalities involving upper bounds for certain matrix operators on Orlicz-Euler and Orlicz-Taylor double sequence spaces ⋮ Boundedness and compactness of the mean operator matrix on weighted Hardy spaces ⋮ Lower bound for matrix operators on the Euler weighted sequence space \(e_{w,p}^{\theta}\) (\(0<p<1\)) ⋮ Upper bound and lower bound for integral operators on weighted spaces ⋮ Norm inequalities involving upper bounds for certain matrix operators in Orlicz-type sequence spaces ⋮ Lower bounds for matrices on block weighted sequence spaces I ⋮ Computation of matrix operators bounds with applying new extension of Hardy inequality on weighted sequence spaces. I

Cites Work

• LOWER BOUNDS OF OPERATORS ON WEIGHTED ℒ P SPACES AND LORENTZ SEQUENCE SPACES
• Factorizing the classical inequalities
• On bounds for weighted norms for matrices and integral operators
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