scholarly journals Bounding the $k$-Steiner Wiener and Wiener-Type Indices of Trees in Terms of Eccentric Sequence

2021 ◽  
Vol 171 (1) ◽  
Author(s):  
Peter Dankelmann ◽  
Audace A. V. Dossou-Olory
Keyword(s):  
Wiener Type

scholarly journals A Boundary Estimate for Singular Sub-Critical Parabolic Equations

2020 ◽  
Author(s):  
Ugo Gianazza ◽  
Naian Liao
Keyword(s):  
Modulus Of Continuity ◽  
Weak Solutions ◽  
Parabolic Equations ◽  
Boundary Point ◽  
Cylindrical Domain ◽  
Boundary Estimate ◽  
Critical Range ◽  
Type Integral ◽  
Wiener Type ◽  
Singular Parabolic Equations

Abstract We prove an estimate on the modulus of continuity at a boundary point of a cylindrical domain for local weak solutions to singular parabolic equations of $p$-Laplacian type, with $p$ in the sub-critical range $\big(1,\frac{2N}{N+1}\big]$. The estimate is given in terms of a Wiener-type integral, defined by a proper elliptic $p$-capacity.

Expansion theorems of Paley-Wiener type

1947 ◽  
Vol 14 (4) ◽  
pp. 975-978 ◽  
Author(s):  
B�la de Sz. Nagy
Keyword(s):  
Wiener Type

Generalized Amalgams, With Applications to Fourier Transform

1990 ◽  
Vol 42 (3) ◽  
pp. 395-409 ◽  
Author(s):  
Hans G. Feichtinger
Keyword(s):  
Locally Compact Abelian Group ◽  
Global Behavior ◽  
Local Behavior ◽  
Precise Description ◽  
Locally Compact ◽  
Local Norm ◽  
Survey Article ◽  
Type Spaces ◽  
Wiener Type ◽  
Arbitrary Norms

A recent survey article by J. Fournier and J. Stewart (Bull.AMS 13 (1985), 1-21) explains how amalgams of Lp with lq (as function spaces over any locally compact abelian group G) can be used as an effective tool for the treatment of various problems in harmonic analysis. The present article may be seen as a complement to this survey, indicating further advantages that arise if one works with generalized amalgams (introduced in 1980 under the name of Wiener-type spaces by the author [10]). The main difference between amalgams and these more general spaces is the fact that they allow a more precise description of the local behavior of functions (or distributions) by rather arbitrary norms and that the conditions on the global behavior (of the quantity obtained using that chosen local norm) is described in a way that includes both growth and integrability conditions (not only lq-summability).

On indices of Wiener and anti-Wiener type

2018 ◽  
Vol 251 ◽  
pp. 290-298
Author(s):  
Damir Vukičević ◽  
Jelena Sedlar
Keyword(s):  
Wiener Type
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