On $$L_2-L_{p'}$$ estimates for the wave-equation.(English)Zbl 0321.35052

MSC:

 35L30 Initial value problems for higher-order hyperbolic equations 35E15 Initial value problems for PDEs and systems of PDEs with constant coefficients 35S10 Initial value problems for PDEs with pseudodifferential operators
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References:

 [1] Domar, Y.: On the spectral synthesis problem for (n?1)-dimensional subsets of ? n , Ark. Mat.9, 23-37 (1971) · Zbl 0212.15004 [2] Hörmander, L.: Estimates for translation-invariant operators onL p-spaces, Acta math.104, 93-140 (1960) · Zbl 0093.11402 [3] Littman, W.: Fourier transformations of surface carried measures and differentiability of surface averages, Bull. Amer. math. Soc.69, 766-770 (1963) · Zbl 0143.34701 [4] Littman, W.:L p?Lq-estimates for singular integral operators arising from hyperbolic equations, In: Proceedings of Symposia in Pure Mathematics, Vol. 23. Partial Differential Equations, (Berkeley 1971). pp. 479-481. Providence: American Mathematical Society 1973 [5] Löfström, J.: Besov-spaces in the theory of approximation, Ann. Mat. pura appl. IV Ser.85, 93-184 (1970) · Zbl 0193.41401 [6] Petree, J.: Application de la théorie des espaces d’interpolation dans l’analyse harmonique, Ricerche Mat.15, 1-36 (1966) [7] Strichartz, R.S.: Convolutions with kernels having singularities on a sphere, Trans. Amer. math. Soc.148, 461-471 (1970) · Zbl 0199.17502 [8] Strichartz, R.S.: A priori estimates for the wave-equation and some applications, J. functional Analysis5, 218-235 (1970) · Zbl 0189.40701 [9] Taibleson, M.H.: On the theory of Lipschitz-spaces of distributions on Euclideann-space, J. Math. Mech., I:13, 407-480 (1964), II:14, 821-840 (1965), III:15, 973-982 (1966)
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