caa a22 4500 467931526 CHVBK 20180406152945.0 cr unu---uuuuu 170328e20060701xx s 000 0 eng 10.1007/s00020-005-1395-z doi (NATIONALLICENCE)springer-10.1007/s00020-005-1395-z Carleson Type Theorems for Certain Convolution Operators [Elektronische Daten] [G. Karadzhov, J. Xiao] Abstract.: We prove mapping theorems for some convolution operators, acting from Sobolev type spaces in $$\mathbb{R}^{n}$$ to Lorentz spaces defined on $$\mathbb{R}^{{n + 1}}_{ + }$$ with a fractional-order Carleson measure. As an application of the major theorems, we give some a priori estimates for the solutions of certain elliptic equations. Birkhäuser Verlag, Basel, 2006 β-Carleson measures nationallicence convolution operators nationallicence elliptic equations nationallicence Karadzhov G. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria aut Xiao J. Department of Mathematics and Statistics, Memorial University of Newfoundland, A1C 5S7, St. John's, NL, Canada aut Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 55/3(2006-07-01), 429-438 0378-620X 55:3<429 2006 55 20 https://doi.org/10.1007/s00020-005-1395-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-005-1395-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Karadzhov G. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria aut NATIONALLICENCE 700 1- Xiao J. Department of Mathematics and Statistics, Memorial University of Newfoundland, A1C 5S7, St. John's, NL, Canada aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 55/3(2006-07-01), 429-438 0378-620X 55:3<429 2006 55 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer