scientific article; zbMATH DE number 7121037

zbMath1436.46040MaRDI QIDQ5239757

A. I. Porabkovich

Publication date: 22 October 2019

Full work available at URL: http://mathnet.ru/eng/cheb463

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Poincaré inequalitymetric measure spacedoubling condition

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Lectures on analysis on metric spaces
• Sobolev spaces on an arbitrary metric space
• Estimates of \(L^p\)-oscillations of functions for \(p>0\)
• Sobolev-Poincaré-type inequality on metric spaces in terms of sharp-maximal functions
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Maximal Functions Measuring Smoothness
• Quantitative form of the Luzin C-property
• Maximal functions measuring smoothness
• Sobolev type inequalities for p>0
• Sobolev met Poincaré
• Criteria for compactness inL^p-spaces,p≥ 0
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