Integral representations of functions and embedding theorems for multianisotropic spaces on the plane with one anisotropy vertex

DOI10.3103/S1068362316060017zbMath1376.46024MaRDI QIDQ528871

Yong-Cai Geng, Sumit K. Garg

Publication date: 17 May 2017

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

integral representationembedding theoremSobolev multianisotropic 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) Function spaces arising in harmonic analysis (42B35)

Related Items (5)

Integral representation and embedding theorems for \(n\)-dimensional multianisotropic spaces with one anisotropic vertex ⋮ New classes of function spaces and singular operators ⋮ An integral representation and embedding theorems in the plane for multianisotropic spaces ⋮ ON CORRECT SOLVABILITY OF DIRICHLET PROBLEM IN A HALF-SPACE FOR REGULAR EQUATIONS WITH NON-HOMOGENEOUS BOUNDARY CONDITIONS ⋮ Embedding theorems for general multianisotropic spaces

Cites Work

• On the theory of general partial differential operators
• On stabilization to a polynomial at infinity of solutions of a class of regular equations
• The transition to polynomials upon convergence of \(| x|\rightarrow\infty\) for solutions of a class of pseudodifferential equations
• Inequalities for formally positive integro-differential forms
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