𝐿^{𝑝} estimates for integral transforms

Strichartz, Robert S.

doi:10.1090/S0002-9947-1969-0234321-X

$L^{p}$ estimates for integral transforms
HTML articles powered by AMS MathViewer

by Robert S. Strichartz

Trans. Amer. Math. Soc. 136 (1969), 33-50

DOI: https://doi.org/10.1090/S0002-9947-1969-0234321-X

PDF | Request permission

References

Shmuel Agmon, Lectures on elliptic boundary value problems, Van Nostrand Mathematical Studies, No. 2, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London, 1965. Prepared for publication by B. Frank Jones, Jr. with the assistance of George W. Batten, Jr. MR 0178246
Pedro Jorge Aranda and Enrique Pedro Cattaneo, Sur les espaces de Lorentz avec poids, C. R. Acad. Sci. Paris Sér. A-B 264 (1967), A109–A112 (French). MR 209816
A. Benedek, A.-P. Calderón, and R. Panzone, Convolution operators on Banach space valued functions, Proc. Nat. Acad. Sci. U.S.A. 48 (1962), 356–365. MR 133653, DOI 10.1073/pnas.48.3.356
A.-P. Calderón, Intermediate spaces and interpolation, the complex method, Studia Math. 24 (1964), 113–190. MR 167830, DOI 10.4064/sm-24-2-113-190
A. P. Calderon and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85–139. MR 52553, DOI 10.1007/BF02392130
A. P. Calderón and A. Zygmund, On singular integrals, Amer. J. Math. 78 (1956), 289–309. MR 84633, DOI 10.2307/2372517
A.-P. Calderón and A. Zygmund, Singular integral operators and differential equations, Amer. J. Math. 79 (1957), 901–921. MR 100768, DOI 10.2307/2372441
Nelson Dunford and Jacob T. Schwartz, Linear operators. Part II: Spectral theory. Self adjoint operators in Hilbert space, Interscience Publishers John Wiley & Sons, New York-London, 1963. With the assistance of William G. Bade and Robert G. Bartle. MR 0188745
E. B. Fabes and N. M. Rivière, Singular integrals with mixed homogeneity, Studia Math. 27 (1966), 19–38. MR 209787, DOI 10.4064/sm-27-1-19-38

Inequalities

Estimates for translation invariant operators in

spaces

104

Jean-Pierre Kahane and Raphaël Salem, Ensembles parfaits et séries trigonométriques, Actualités Scientifiques et Industrielles [Current Scientific and Industrial Topics], No. 1301, Hermann, Paris, 1963 (French). MR 0160065
Paul Krée, Sur les multiplicateurs dans ${\cal F}\,L^{p}$, Ann. Inst. Fourier (Grenoble) 16 (1966), 31–89 (French). MR 216244
Paul Krée, Sur les multiplicateurs dans ${\cal F}\,L^{p}$ avec poids, Ann. Inst. Fourier (Grenoble) 16 (1966), 91–121. MR 216245

Propriétés de continuité dans

de certains noyaux

E. M. Stein, Note on singular integrals, Proc. Amer. Math. Soc. 8 (1957), 250–254. MR 88606, DOI 10.1090/S0002-9939-1957-0088606-8

Intégrals singulières et fonctions différentiables de plusieurs variables

E. M. Stein and Guido Weiss, Fractional integrals on $n$-dimensional Euclidean space, J. Math. Mech. 7 (1958), 503–514. MR 0098285, DOI 10.1512/iumj.1958.7.57030
E. M. Stein and G. Weiss, Interpolation of operators with change of measures, Trans. Amer. Math. Soc. 87 (1958), 159–172. MR 92943, DOI 10.1090/S0002-9947-1958-0092943-6
Robert S. Strichartz, Multipliers on fractional Sobolev spaces, J. Math. Mech. 16 (1967), 1031–1060. MR 0215084
A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776