Integral representation and embedding theorems for \(n\)-dimensional multianisotropic spaces with one anisotropic vertex

DOI10.1134/S0037446617030089zbMath1381.46033OpenAlexW2672680486MaRDI QIDQ2400735

Yanyan Li

Publication date: 30 August 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446617030089

zbMATH Keywords

integral representationembedding theoremscompletely regular polyhedronmultianisotropic space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (8)

On solvability of regular hypoelliptic equations in \(\mathbb{R}^n\) ⋮ New classes of function spaces and singular operators ⋮ Дробные мультианизотропные пространства и теоремы вложения для них ⋮ ON CORRECT SOLVABILITY OF DIRICHLET PROBLEM IN A HALF-SPACE FOR REGULAR EQUATIONS WITH NON-HOMOGENEOUS BOUNDARY CONDITIONS ⋮ Embedding theorems for general multianisotropic spaces ⋮ Limiting embedding theorems for multianisotropic functional spaces ⋮ Correct solvability of the Dirichlet problem in the half-space for regular hypoelliptic equations ⋮ Multianisotropic integral operators defined by regular equations

Cites Work

• Integral representations of functions and embedding theorems for multianisotropic spaces on the plane with one anisotropy vertex
• On the theory of general partial differential operators
• On stabilization to a polynomial at infinity of solutions of a class of regular equations
• On the representation of functions defined by a class of hypoelliptic operators
• Inequalities for formally positive integro-differential forms
• ON COERCIVITY IN NONISOTROPIC SOBOLEV SPACES
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