By Jaak Peetre (auth.), Michael Cwikel, Jaak Peetre, Yoram Sagher, Hans Wallin (eds.)

This seminar is a unfastened continuation of 2 earlier meetings held in Lund (1982, 1983), frequently dedicated to interpolation areas, which led to the book of the Lecture Notes in arithmetic Vol. 1070. This explains the unfairness in the direction of that topic. the assumption this time used to be, besides the fact that, to assemble mathematicians additionally from different comparable components of study. to stress the historic roots of the topic, the gathering is preceded by way of a lecture at the lifetime of Marcel Riesz.

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**Additional info for Function Spaces and Applications: Proceedings of the US-Swedish Seminar held in Lund, Sweden, June 15–21, 1986**

**Sample text**

B1, Bz ,B 3 atce. a:t ~ cw (f g ), V(f, g ) ,_ Pa x Pa ' e< = 1,2, an d (6b) I n [ 27 ), [28 ) , Similar statement s a r e \ralid for mea s ur es i n IR. (33 ] , [67] , Theorcm (l) wa s extended to the cas e wher e t he t e rms ~aa(fafa )l /Z i n the ri ght ha nd side of [la) ar e r e pla ce d by gene ral no rms oa (fc) (see Section S) . It was shown in the paper s quoted above that the GBT provi d es , amon g ot her appl icati ons, solut i ons and re f inements for the examples (a) - (e} . _ [ ls a kernel (see Se c tion 4(B)), ge ner alized Toep1it z forms in P correspond to generali zed Toe plit z kernel s, GTKs in 27 Z, and the kernel terminology was used i n most o f the above - mentioned papers .

1985), 427-431. 39 C. M. Stein, Hp spaces of severa l variables, Acta Math. ~ (1972), 137 193. 40. J. Fou rnier, On a theorem of Paley and the Littlewood conjecture, Ark i v f. Math. 17 (19 79 ), 199-216. 41 . E. Gilbert, Harmonic anal y sis and the Grothendieck's fundamen tal theorem, Symp. Math. ~ (1977), 393-420. 42. I. Gohberg and H. Dym, A maximum entropy princip 1e for contractive interpolants, J. Function a l Ana l. ~ (1986), 83-125. 43. A. Grothend ie ck, Re s ume dela theorie metrique des produits tensoriels topologiques , Bol.

Par is 302 , I (1986)' 107 -110. 6. , Nairnark's theore m, linear sys terns and scatter ing ope r ators , to appear in J . Functional Anal. 7. , Genera1ized Toepl i tz kerne ls and di1 at ions of intertw inning operators, t o appear i n Acta Sci . Math. (S zeged) . 8. R. Arocena and M. Cotlar, Genera1ized Toeplitz kernels , Hanke1 forms and Sarason's commutation theorem, Acta Cient. Venez. 33 (1982)' 89-98 . 9. Generalized Toeplitz ke rnels and Adamjan-Arov-Krein moment problems, Op . Theory: Adv .