Weighted norm inequalities for a nonlinear transform

DOI10.1016/j.camwa.2010.12.031zbMath1217.44001OpenAlexW2057792040MaRDI QIDQ552226

Dinh Thanh Duc, Nguyen Du Vi Nhan, Tuan, V. K.

Publication date: 21 July 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.12.031

zbMATH Keywords

Sobolev spaceconvolutionholomorphic functionnorm inequalityweightabsolutely continuous functionnonlinear transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Coefficient problems for univalent and multivalent functions of one complex variable (30C50) General integral transforms (44A05)

Cites Work

• Norm inequalities of exponential type for holomorphic functions
• Some inequalities for analytic functions with a finite Dirichlet integral on the unit disc
• Convolution Inequalities in l_p Weighted Spaces
• A Dirichlet Norm Inequality and Some Inequalities for Reproducing Kernel Spaces
• Saitoh's inequality and Opial's inequality
• Theory of Reproducing Kernels
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