Bilinear forms on non-homogeneous Sobolev spaces

DOI10.1515/forum-2019-0311zbMath1444.35031OpenAlexW3016439380MaRDI QIDQ776166

Carmen Cascante, Joaquin M. Ortega Aramburu

Publication date: 30 June 2020

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2019-0311

zbMATH Keywords

bilinear formBessel potentialfractional Laplaciannon-homogeneous Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Potentials and capacities on other spaces (31C15)

Cites Work

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• The Schrödinger operator on the energy space: Boundedness and compactness criteria
• On some sharp weighted norm inequalities
• The form boundedness criterion for the relativistic Schrödinger operator
• Capacitary inequalities for fractional integrals, with applications to partial differential equations and Sobolev multipliers
• Bilinear forms on homogeneous Sobolev spaces
• Multipliers between Sobolev spaces and fractional differentiation
• Extension Problem and Harnack's Inequality for Some Fractional Operators
• Theory of Sobolev Multipliers
• Sharp Norm Estimates for the Bergman Operator From Weighted Mixed-norm Spaces to Weighted Hardy Spaces
• An Extension Problem Related to the Fractional Laplacian

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