FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2912226723> ?p ?o ?g. }

• W2912226723 abstract "Let $(X,|cdot|_X)$ be a Banach space. The purpose of this article is to systematically investigate dimension independent properties of vector valued functions $f:{-1,1}^nto X$ on the Hamming cube whose spectrum is bounded above or below. Our proofs exploit contractivity properties of the heat flow, induced by the geometry of the target space $(X,|cdot|_X)$, combined with duality arguments and suitable tools from approximation theory and complex analysis. We obtain a series of improvements of various well-studied estimates for functions with bounded spectrum, including moment comparison results for low degree Walsh polynomials and Bernstein-Markov type inequalities, which constitute discrete vector valued analogues of Freud's inequality in Gauss space (1971). Many of these inequalities are new even for scalar valued functions. Furthermore, we provide a short proof of Mendel and Naor's heat smoothing theorem (2014) for functions on tail spaces with values in spaces of nontrivial type and we also prove a dual lower bound on the decay of the heat semigroup acting on functions with spectrum bounded from above. Finally, we improve the reverse Bernstein-Markov inequalities of Meyer (1984) and Mendel and Naor (2014) for functions with narrow enough spectrum and improve the bounds of Filmus, Hatami, Keller and Lifshitz (2016) on the $ell_p$ sums of influences of bounded functions for $pinbig(1,frac{4}{3}big)$." @default.
• W2912226723 created "2019-02-21" @default.
• W2912226723 creator A5024045153 @default.
• W2912226723 creator A5033685269 @default.
• W2912226723 date "2019-02-06" @default.
• W2912226723 modified "2023-09-25" @default.
• W2912226723 title "Polynomial inequalities on the Hamming cube" @default.
• W2912226723 cites W137446904 @default.
• W2912226723 cites W1547357416 @default.
• W2912226723 cites W1571984195 @default.
• W2912226723 cites W1642297840 @default.
• W2912226723 cites W1891181203 @default.
• W2912226723 cites W1990876436 @default.
• W2912226723 cites W1990896327 @default.
• W2912226723 cites W2010094677 @default.
• W2912226723 cites W2011198658 @default.
• W2912226723 cites W2034889029 @default.
• W2912226723 cites W2037360793 @default.
• W2912226723 cites W2047213100 @default.
• W2912226723 cites W2049887038 @default.
• W2912226723 cites W2063966194 @default.
• W2912226723 cites W2068728139 @default.
• W2912226723 cites W209159601 @default.
• W2912226723 cites W2094654291 @default.
• W2912226723 cites W2130170517 @default.
• W2912226723 cites W2181445345 @default.
• W2912226723 cites W2334237942 @default.
• W2912226723 cites W2490501045 @default.
• W2912226723 cites W288635159 @default.
• W2912226723 cites W2963522127 @default.
• W2912226723 cites W2964080338 @default.
• W2912226723 cites W2990647520 @default.
• W2912226723 cites W3002137429 @default.
• W2912226723 cites W3116580792 @default.
• W2912226723 cites W44880656 @default.
• W2912226723 cites W55457573 @default.
• W2912226723 cites W2730948819 @default.
• W2912226723 hasPublicationYear "2019" @default.
• W2912226723 type Work @default.
• W2912226723 sameAs 2912226723 @default.
• W2912226723 citedByCount "2" @default.
• W2912226723 countsByYear W29122267232019 @default.
• W2912226723 countsByYear W29122267232020 @default.
• W2912226723 crossrefType "posted-content" @default.
• W2912226723 hasAuthorship W2912226723A5024045153 @default.
• W2912226723 hasAuthorship W2912226723A5033685269 @default.
• W2912226723 hasConcept C105795698 @default.
• W2912226723 hasConcept C114614502 @default.
• W2912226723 hasConcept C118615104 @default.
• W2912226723 hasConcept C121332964 @default.
• W2912226723 hasConcept C132954091 @default.
• W2912226723 hasConcept C134306372 @default.
• W2912226723 hasConcept C156778621 @default.
• W2912226723 hasConcept C157125643 @default.
• W2912226723 hasConcept C2779494224 @default.
• W2912226723 hasConcept C33923547 @default.
• W2912226723 hasConcept C34388435 @default.
• W2912226723 hasConcept C57273362 @default.
• W2912226723 hasConcept C62520636 @default.
• W2912226723 hasConcept C73150493 @default.
• W2912226723 hasConceptScore W2912226723C105795698 @default.
• W2912226723 hasConceptScore W2912226723C114614502 @default.
• W2912226723 hasConceptScore W2912226723C118615104 @default.
• W2912226723 hasConceptScore W2912226723C121332964 @default.
• W2912226723 hasConceptScore W2912226723C132954091 @default.
• W2912226723 hasConceptScore W2912226723C134306372 @default.
• W2912226723 hasConceptScore W2912226723C156778621 @default.
• W2912226723 hasConceptScore W2912226723C157125643 @default.
• W2912226723 hasConceptScore W2912226723C2779494224 @default.
• W2912226723 hasConceptScore W2912226723C33923547 @default.
• W2912226723 hasConceptScore W2912226723C34388435 @default.
• W2912226723 hasConceptScore W2912226723C57273362 @default.
• W2912226723 hasConceptScore W2912226723C62520636 @default.
• W2912226723 hasConceptScore W2912226723C73150493 @default.
• W2912226723 hasLocation W29122267231 @default.
• W2912226723 hasOpenAccess W2912226723 @default.
• W2912226723 hasPrimaryLocation W29122267231 @default.
• W2912226723 hasRelatedWork W1967452489 @default.
• W2912226723 hasRelatedWork W1983025188 @default.
• W2912226723 hasRelatedWork W2017995634 @default.
• W2912226723 hasRelatedWork W2043065155 @default.
• W2912226723 hasRelatedWork W2060353208 @default.
• W2912226723 hasRelatedWork W2082664951 @default.
• W2912226723 hasRelatedWork W2171193023 @default.
• W2912226723 hasRelatedWork W2229723798 @default.
• W2912226723 hasRelatedWork W2587461251 @default.
• W2912226723 hasRelatedWork W2796790674 @default.
• W2912226723 hasRelatedWork W2798471296 @default.
• W2912226723 hasRelatedWork W2885417617 @default.
• W2912226723 hasRelatedWork W2901751567 @default.
• W2912226723 hasRelatedWork W2951646209 @default.
• W2912226723 hasRelatedWork W2951752306 @default.
• W2912226723 hasRelatedWork W2974020708 @default.
• W2912226723 hasRelatedWork W3092302890 @default.
• W2912226723 hasRelatedWork W3097978408 @default.
• W2912226723 hasRelatedWork W3101459391 @default.
• W2912226723 hasRelatedWork W67174335 @default.
• W2912226723 isParatext "false" @default.
• W2912226723 isRetracted "false" @default.
• W2912226723 magId "2912226723" @default.

• next