@article{702469, title = {Superlinear equations, potential theory and weighted norm inequalities}, booktitle = {Nonlinear Analysis, Function Spaces and Applications}, series = {GDML\_Books}, publisher = {Czech Academy of Sciences, Mathematical Institute}, address = {Praha}, year = {1999}, pages = {223-269}, mrnumber = {MR1777717}, zbl = {0961.31002}, url = {http://dml.mathdoc.fr/item/702469} }
Verbitsky, Igor E. Superlinear equations, potential theory and weighted norm inequalities, dans Nonlinear Analysis, Function Spaces and Applications, GDML_Books, (1999), pp. 223-269. http://gdmltest.u-ga.fr/item/702469/
On imbedding potential spaces into , To appear in Proc. London Math. Soc.
Nonlinear equations and weighted norm inequalities, To appear in Trans. Amer. Math. Soc. | MR 1475688 | Zbl 0948.35044
Bellman functions and two weight inequalities for Haar multipliers, Preprint. | MR 1685781 | Zbl 0951.42007
Nonoscillation theorems, Trans. Amer. Math. Soc 64 (1948), 234–252. (1948) | MR 0027925
Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel, Ann. Inst. Fourier (Grenoble) 7 (1957), 183–281. (1957) | MR 0100174 | Zbl 0086.30603
Classes of domains and embedding theorems for functional spaces, Dokl. Akad. Nauk SSSR, 133 (1960), 527–530. (1960) | MR 0126152
On the theory of the -dimensional Schrödinger operator, Izv. Akad. Nauk SSSR, ser. Mat. 28 (1964), 1145–1172. (1964) | MR 0174879
Inequalities for the Green function and boundary continuity of the gradients of solutions of elliptic differential equations, Math. Scand. 21 (1967), 13–67. (1967) | MR 0239264
A class of inequalities, Boll. Un. Mat. Ital. 4 (1969), 622–631. (1969) | MR 0255751 | Zbl 0188.12103
Singular integrals and differentiability properties of functions, Princeton University Press, Princeton 1970. (1970) | MR 0290095 | Zbl 0207.13501
Some maximal inequalities, Amer. J. Math. 93 (1971) 107–115. (1971) | MR 0284802 | Zbl 0222.26019
Hardy’s inequalities with weights, Studia Math. 44 (1972), 31–38. (1972)
Generalization of Hardy’s inequality, Conf. Semin. Mat. Univ. Bari 156 (1978), 1–21. (1978) | MR 0541051
Lattice theory, Amer. Math. Soc., Amer. Math. Soc. Colloq. Publ., 25, Providence, RI 1979. (1979) | Zbl 0505.06001
Imbedding theorems of Sobolev type in potential theory, Math. Scand. 45 (1979), 77–102. (1979) | MR 0567435 | Zbl 0437.31009
Strong differentiation with respect to measures, Amer. J. Math. 103 (1981), 33–40. (1981) | MR 0601461 | Zbl 0475.42019
Weighted norm inequalities for fractional maximal operators, Can. Math. Soc. Conf. Proceedings 1 (1981), 283–309. (1981) | MR 0670111 | Zbl 0546.42018
Ordinary differential equations, Birkhäuser, Boston 1982. (1982) | MR 0658490 | Zbl 0476.34002
On the existence of positive solutions of semilinear elliptic equations, SIAM Rev. 24 (1982), 441–467. (1982) | MR 0678562 | Zbl 0511.35033
A characterization of a two-weight norm inequality for maximal operators, Studia Math. 75 (1982), 1–11 (1982) | MR 0676801 | Zbl 0508.42023
Thin sets in nonlinear potential theory, Ann. Inst. Fourier (Grenoble) 33 (1983), 161–187. (1983) | MR 0727526 | Zbl 0508.31008
Generalized Hardy’s inequality, Čas. Pěstování Mat. 109 (1984), 194–203. (1984) | MR 0744875 | Zbl 0537.26009
Geometrical methods of nonlinear analysis, Springer-Verlag, Berlin 1984. (1984) | MR 0736839
Critère d’existence de solutions positives pour des équations semi-linéaires non monotones, Ann. Inst. H. Poincaré Anal. Non Linéaire 2 (1985), 185–212. (1985) | MR 0797270 | Zbl 0599.35073
Sobolev Spaces, Springer-Verlag, Berlin 1985. (1985) | MR 0817985
Green function for Schrödinger operator and conditioned Feynman-Kac gauge, J. Math. Anal. Appl. 116 (1986), 309–334. (1986) | MR 0842803 | Zbl 0608.35012
Two weight norm inequalities for certain maximal and integral operators, Trans. Amer. Math. Soc. 308 (1988), 533–545. (1988) | MR 0930072
Semilinear problem with convex nonlinearity, In: Recent Advances in Nonlinear Elliptic and Parabolic Problems. P. Bénilan, M. Chipot, L. C. Evans and M. Pierre (eds.), Pitman Research Notes in Math. Sciences, 208, Longman, Harlow 1989, 202–215. (1989) | MR 1035008 | Zbl 0768.35030
A discrete transform and decompositions of distribution spaces, J. Funct. Anal. 93 (1990), 34–170. (1990) | MR 1070037 | Zbl 0716.46031
Capacitary strong type estimates in semilinear problems, Ann. Inst. Fourier (Grenoble) 41 (1991), 117–135. (1991) | MR 1112194 | Zbl 0741.35012
Comparaison des noyaux de Green sur les domaines , Rev. Roumaine Math. Pures Appl. 36 (1991), 91–100. (1991) | MR 1144538
Weighted inequalities for fractional integrals on Euclidean and homogeneous spaces, Amer. J. Math. 114 (1992), 813–874. (1992) | MR 1175693 | Zbl 0783.42011
Weighted norm inequalities for maximal operators and Pisier’s theorem on factorization through , Integral Equations Operator Theory 15 (1992), 121–153. (1992) | MR 1134691
The Wiener test and potential estimates for quasilinear elliptic equations, Acta Math. 172 (1994), 137–161. (1994) | MR 1264000
Probabilistic techniques in analysis, Springer-Verlag, Berlin 1995. (1995) | MR 1329542 | Zbl 0817.60001
From Brownian motion to Schrödinger’s equation, Springer-Verlag, Berlin 1995. (1995) | MR 1329992 | Zbl 0819.60068
Some counterexamples for the theory of Sobolev spaces on bad domains, Potential Anal. 4 (1995), 47–65. (1995) | MR 1313906 | Zbl 0819.46023
Capacitary inequalities for fractional integrals, with applications to partial differential equations and Sobolev multipliers, Ark. Mat. 33 (1995), 81–115. (1995) | MR 1340271 | Zbl 0834.31006
Size estimates for eigenvalues of singular integral operators and Schrödinger operators and for derivatives of quasiconformal mappings, Amer. J. Math. 117 (1995), 711–771. (1995) | MR 1333943 | Zbl 0845.42006
Weighted inequalities for fractional integrals and applications to semilinear equations, J. Funct. Anal. 129 (1995), 221–241. (1995) | MR 1322649
Function spaces and potential theory, Springer-Verlag, Berlin 1996. (1996) | MR 1411441
Weighted norm inequalities for operators of potential type and fractional maximal functions, Potential Anal. 5 (1996), 523–580. (1996) | MR 1437584 | Zbl 0873.42012
Imbedding and multiplier theorems for discrete Littlewood–Paley spaces, Pacific J. Math. 176 (1996), 529-556. (1996) | MR 1435004 | Zbl 0865.42009
Some simple nonlinear PDE’s without solutions, Preprint 1997, 1–37. (1997) | MR 1638143
Semilinear ODEs and Hardy’s inequality with weights, M.S. Thesis, Univ. of Missouri, Columbia 1997, 1–21. (1997)
Fine Regularity of solutions of elliptic partial differential equations, Amer. Math. Soc., Providence, RI 1997. (1997) | MR 1461542 | Zbl 0882.35001
Weighted norm inequalities for integral operators, Trans. Amer. Math. Soc. 350 (1998), 3371–3391. (1998) | MR 1443202 | Zbl 0920.42007
Criteria of solvability for multidimensional Riccati’s equations, Ark. Mat. 37 (1999), 87–120. (1999) | MR 1673427