Amiran Gogatishvili

Applied Mathematics · 2003–2018

A researcher in the Science corpus: 13 papers; trusts 20 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 64 citations into it; #2,875 of 7,620 by trust here, #2,192 by citations
• Mathematical Physics — 37 citations into it; #5,105 of 8,562 by trust here, #6,594 by citations
• Computational Theory and Mathematics — 10 citations into it
• Computational Mechanics — 9 citations into it

Whom Amiran Gogatishvili trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Gord Sinnamon
2. Pekka Koskela
3. L. Pick
4. Dachun Yang
5. María J. Carro
6. Bohumír Opic
7. Nageswari Shanmugalingam
8. Alberto Fiorenza
9. D. Müller
10. Victor Burenkov

Who trusts Amiran Gogatishvili overall

1. T. Heikkinen
2. María J. Carro
3. Pekka Koskela
4. Yuan Zhou
5. Dachun Yang
6. L. Ihnatsyeva
7. Patricia Alonso-Ruiz
8. Vagif S. Guliyev
9. Gord Sinnamon
10. Heli Tuominen

Papers from Amiran Gogatishvili's perspective

Ordered by how strongly the researchers Amiran Gogatishvili trusts endorse each paper. Same corpus, a different order for every researcher.

1. Interpolation Spaces: An Introduction
2. The Poincare inequality is an open ended condition
3. New characterizations of Hajłasz-Sobolev spaces on metric spaces
4. Pointwise Characterizations of Besov and Triebel-Lizorkin Spaces and Quasiconformal Mappings
5. Electrorheological Fluids : Modeling and Mathematical Theory (Mathematical Analysis in Fluid and Gas Dynamics)
6. Optimal Sobolev imbeddings
7. Variable Lebesgue Spaces: Foundations and Harmonic Analysis
8. Optimal Orlicz-Sobolev embeddings
9. Pointwise symmetrization inequalities for Sobolev functions and applications
10. Mappings of finite distortion: Monotonicity and continuity

Their papers

• On grand and small Lebesgue and Sobolev spaces and some applications to PDE's (2018) — 81 citations
• Characterization of interpolation between Grand, small or classical Lebesgue spaces (2017) — 81 citations
• Reduction theorems for operators on the cones of monotone functions (2013) — 53 citations
• Some New Iterated Hardy-Type Inequalities (2012) — 51 citations
• A note on maximal commutators and commutators of maximal functions (2012) — 72 citations
• Characterizations of Besov and Triebel–Lizorkin spaces on metric measure spaces (2011) — 94 citations
• Interpolation properties of Besov spaces defined on metric spaces (2010) — 109 citations
• Boundedness of the fractional maximal operator in local Morrey-type spaces (2010) — 135 citations
• WEIGHTED INEQUALITIES INVOLVING TWO HARDY OPERATORS WITH APPLICATIONS TO EMBEDDINGS OF FUNCTION SPACES (2008) — 70 citations
• SUFFICIENT CONDITIONS FOR BOUNDEDNESS OF THE RIESZ POTENTIAL IN LOCAL MORREY-TYPE SPACES (2007) — 81 citations
• Weighted inequalities for Hardy-type operators involving suprema (2006) — 89 citations
• Limiting reiteration for real interpolation with slowly varying functions (2005) — 116 citations
• Discretization and anti-discretization of rearrangement-invariant norms (2003) — 107 citations