Convolution algebraic structures defined by Hardy-type operators

DOI10.1155/2013/212465zbMath1300.46026OpenAlexW1970251655WikidataQ59013719 ScholiaQ59013719MaRDI QIDQ2443691

Luis Sánchez-Lajusticia, Juan J. Royo, Pedro José Miana

Publication date: 8 April 2014

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/212465

zbMATH Keywords

weighted Sobolev spaceweighted Lebesgue spaceHardy-type operatorfractional Sobolev space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (1)

RKH spaces of Brownian type defined by Cesàro-Hardy operators

Cites Work

• Estimates of the Laplace transform on convolution Sobolev algebras
• Algebra homomorphisms from cosine convolution algebras
• Algebra homomorphisms defined via convoluted semigroups and cosine functions
• One-parameter groups of regular quasimultipliers
• Weighted Inequalities for Riemann-Liouville Fractional Integrals of Order One and Greater
• Weighted Generalized Hardy Inequalities for Nonincreasing Functions
• Hardy-type inequalities via convexity
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