Traces of potentials arising from translation invariant operators

D. R. Adams

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1971)

  • Volume: 25, Issue: 1, page 203-217
  • ISSN: 0391-173X

How to cite

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Adams, D. R.. "Traces of potentials arising from translation invariant operators." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 25.1 (1971): 203-217. <http://eudml.org/doc/83554>.

@article{Adams1971,
author = {Adams, D. R.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1},
pages = {203-217},
publisher = {Scuola normale superiore},
title = {Traces of potentials arising from translation invariant operators},
url = {http://eudml.org/doc/83554},
volume = {25},
year = {1971},
}

TY - JOUR
AU - Adams, D. R.
TI - Traces of potentials arising from translation invariant operators
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1971
PB - Scuola normale superiore
VL - 25
IS - 1
SP - 203
EP - 217
LA - eng
UR - http://eudml.org/doc/83554
ER -

References

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  1. [1] A.P. Calderon, « Lebesgue spaces of differential functions and distributions,», Proc Symp. Pre Math. Vol. 4, pp. 33-49, Amer. Math. Soc., Providence, R. I.1961. Zbl0195.41103MR143037
  2. [2] S. Campanato, « Proprietà di inclusione per spazi di Morrey », Ricerche di Matematica, 12 (1963) pp. 67-86. Zbl0192.22703MR156228
  3. [3] L. Carleson, « Selected problems in exceptional sets », Van Nostrand1967. Zbl0189.10903MR225986
  4. [4] R. Hunt, «.An extension of the Marcinkiewicz interpolation theorem to Lorentz spaces », Bull. Amer. Math. Soc.70 (1964), pp. 803-807. Zbl0145.38203MR169037
  5. [5] V. Ii'in, « Generalization of an integral inequality », Uspehi Mat. Nauk vol. II (1956) n. 4 (70) pp, 131-138. MR82538
  6. [6] N. Meyers, « A theory of capacities for potentials of functions in Lebesgue classes », to appear. Zbl0242.31006MR277741
  7. [7] E.M. Stein and G. Weiss, « Fractional integrals on n-dimensional Euclidean space », J. Math. Mech.7 (1958), pp. 503-514. Zbl0082.27201MR98285
  8. [8] E.M. Stein and A. Zygmund, « Boundedness of translation invarient operators on Hölder spaces and Lp-spaces», Ann. Math.85 (1967) pp. 337-349. Zbl0172.40102MR215121
  9. [9] G. Stampacchia, «Contributi alla regolarizzazione delle soluzioni dei problemi al contorno per equazioni del secondo ordine ellittiche », Ann. Sc. Norm. Sup. Pisa, 12 (1958) pp 223-245. Zbl0082.09701MR125313

Citations in EuDML Documents

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  1. Maria Alessandra Ragusa, Pietro Zamboni, A potential theoretic inequality
  2. Jaak Peetre, On the trace of potentials
  3. Alf Jonsson, Hans Wallin, A Whitney extension theorem in and Besov spaces
  4. Giuseppe Mingione, The Calderón-Zygmund theory for elliptic problems with measure data
  5. Donatella Danielli, Nicola Garofalo, Duy-Minh Nhieu, Trace inequalities for Carnot-Carathéodory spaces and applications

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