id	sid	tid	token	lemma	pos
cc08hd78v30	1	1	in	in	ADP
cc08hd78v30	1	2	this	this	DET
cc08hd78v30	1	3	thesis	thesis	NOUN
cc08hd78v30	1	4	,	,	PUNCT
cc08hd78v30	1	5	we	we	PRON
cc08hd78v30	1	6	shall	shall	AUX
cc08hd78v30	1	7	examine	examine	VERB
cc08hd78v30	1	8	a	a	DET
cc08hd78v30	1	9	strong	strong	ADJ
cc08hd78v30	1	10	form	form	NOUN
cc08hd78v30	1	11	of	of	ADP
cc08hd78v30	1	12	oka	oka	PROPN
cc08hd78v30	1	13	's	's	PART
cc08hd78v30	1	14	lemma	lemma	NOUN
cc08hd78v30	1	15	which	which	PRON
cc08hd78v30	1	16	provides	provide	VERB
cc08hd78v30	1	17	sufficient	sufficient	ADJ
cc08hd78v30	1	18	conditions	condition	NOUN
cc08hd78v30	1	19	for	for	ADP
cc08hd78v30	1	20	compact	compact	ADJ
cc08hd78v30	1	21	and	and	CCONJ
cc08hd78v30	1	22	subelliptic	subelliptic	ADJ
cc08hd78v30	1	23	estimates	estimate	NOUN
cc08hd78v30	1	24	for	for	ADP
cc08hd78v30	1	25	the	the	DET
cc08hd78v30	1	26	d	d	NOUN
cc08hd78v30	1	27	-	-	PUNCT
cc08hd78v30	1	28	bar	bar	NOUN
cc08hd78v30	1	29	neumann	neumann	NOUN
cc08hd78v30	1	30	operator	operator	NOUN
cc08hd78v30	1	31	on	on	ADP
cc08hd78v30	1	32	lipschitz	lipschitz	NOUN
cc08hd78v30	1	33	domains	domain	NOUN
cc08hd78v30	1	34	.	.	PUNCT
cc08hd78v30	2	1	on	on	ADP
cc08hd78v30	2	2	smooth	smooth	ADJ
cc08hd78v30	2	3	domains	domain	NOUN
cc08hd78v30	2	4	,	,	PUNCT
cc08hd78v30	2	5	the	the	DET
cc08hd78v30	2	6	condition	condition	NOUN
cc08hd78v30	2	7	for	for	ADP
cc08hd78v30	2	8	subellipticity	subellipticity	NOUN
cc08hd78v30	2	9	is	be	AUX
cc08hd78v30	2	10	equivalent	equivalent	ADJ
cc08hd78v30	2	11	to	to	ADP
cc08hd78v30	2	12	d'angelo	d'angelo	PROPN
cc08hd78v30	2	13	finite	finite	ADJ
cc08hd78v30	2	14	-	-	PUNCT
cc08hd78v30	2	15	type	type	NOUN
cc08hd78v30	2	16	and	and	CCONJ
cc08hd78v30	2	17	the	the	DET
cc08hd78v30	2	18	condition	condition	NOUN
cc08hd78v30	2	19	for	for	ADP
cc08hd78v30	2	20	compactness	compactness	NOUN
cc08hd78v30	2	21	is	be	AUX
cc08hd78v30	2	22	equivalent	equivalent	ADJ
cc08hd78v30	2	23	to	to	ADP
cc08hd78v30	2	24	catlin	catlin	PROPN
cc08hd78v30	2	25	's	's	PART
cc08hd78v30	2	26	condition	condition	NOUN
cc08hd78v30	2	27	(	(	PUNCT
cc08hd78v30	2	28	p	p	NOUN
cc08hd78v30	2	29	)	)	PUNCT
cc08hd78v30	2	30	.	.	PUNCT
cc08hd78v30	3	1	once	once	ADV
cc08hd78v30	3	2	the	the	DET
cc08hd78v30	3	3	basic	basic	ADJ
cc08hd78v30	3	4	properties	property	NOUN
cc08hd78v30	3	5	of	of	ADP
cc08hd78v30	3	6	this	this	DET
cc08hd78v30	3	7	condition	condition	NOUN
cc08hd78v30	3	8	have	have	AUX
cc08hd78v30	3	9	been	be	AUX
cc08hd78v30	3	10	established	establish	VERB
cc08hd78v30	3	11	,	,	PUNCT
cc08hd78v30	3	12	we	we	PRON
cc08hd78v30	3	13	will	will	AUX
cc08hd78v30	3	14	study	study	VERB
cc08hd78v30	3	15	the	the	DET
cc08hd78v30	3	16	extent	extent	NOUN
cc08hd78v30	3	17	to	to	PART
cc08hd78v30	3	18	which	which	PRON
cc08hd78v30	3	19	these	these	DET
cc08hd78v30	3	20	estimates	estimate	NOUN
cc08hd78v30	3	21	can	can	AUX
cc08hd78v30	3	22	be	be	AUX
cc08hd78v30	3	23	extended	extend	VERB
cc08hd78v30	3	24	to	to	ADP
cc08hd78v30	3	25	higher	high	ADJ
cc08hd78v30	3	26	order	order	NOUN
cc08hd78v30	3	27	derivatives	derivative	NOUN
cc08hd78v30	3	28	on	on	ADP
cc08hd78v30	3	29	c^k	c^k	NOUN
cc08hd78v30	3	30	domains	domain	NOUN
cc08hd78v30	3	31	,	,	PUNCT
cc08hd78v30	3	32	with	with	ADP
cc08hd78v30	3	33	k	k	X
cc08hd78v30	3	34	greater	great	ADJ
cc08hd78v30	3	35	than	than	ADP
cc08hd78v30	3	36	or	or	CCONJ
cc08hd78v30	3	37	equal	equal	ADJ
cc08hd78v30	3	38	to	to	ADP
cc08hd78v30	3	39	2	2	NUM
cc08hd78v30	3	40	.	.	PUNCT
cc08hd78v30	4	1	for	for	ADP
cc08hd78v30	4	2	the	the	DET
cc08hd78v30	4	3	lipschitz	lipschitz	NOUN
cc08hd78v30	4	4	case	case	NOUN
cc08hd78v30	4	5	,	,	PUNCT
cc08hd78v30	4	6	we	we	PRON
cc08hd78v30	4	7	will	will	AUX
cc08hd78v30	4	8	look	look	VERB
cc08hd78v30	4	9	at	at	ADP
cc08hd78v30	4	10	higher	high	ADJ
cc08hd78v30	4	11	order	order	NOUN
cc08hd78v30	4	12	estimates	estimate	NOUN
cc08hd78v30	4	13	in	in	ADP
cc08hd78v30	4	14	the	the	DET
cc08hd78v30	4	15	special	special	ADJ
cc08hd78v30	4	16	case	case	NOUN
cc08hd78v30	4	17	when	when	SCONJ
cc08hd78v30	4	18	the	the	DET
cc08hd78v30	4	19	domain	domain	NOUN
cc08hd78v30	4	20	admits	admit	VERB
cc08hd78v30	4	21	a	a	DET
cc08hd78v30	4	22	plurisubharmonic	plurisubharmonic	ADJ
cc08hd78v30	4	23	defining	define	VERB
cc08hd78v30	4	24	function	function	NOUN
cc08hd78v30	4	25	.	.	PUNCT
cc08hd78v30	5	1	finally	finally	ADV
cc08hd78v30	5	2	,	,	PUNCT
cc08hd78v30	5	3	we	we	PRON
cc08hd78v30	5	4	will	will	AUX
cc08hd78v30	5	5	use	use	VERB
cc08hd78v30	5	6	these	these	DET
cc08hd78v30	5	7	estimates	estimate	NOUN
cc08hd78v30	5	8	to	to	PART
cc08hd78v30	5	9	construct	construct	VERB
cc08hd78v30	5	10	a	a	DET
cc08hd78v30	5	11	compact	compact	ADJ
cc08hd78v30	5	12	solution	solution	NOUN
cc08hd78v30	5	13	operator	operator	NOUN
cc08hd78v30	5	14	for	for	ADP
cc08hd78v30	5	15	the	the	DET
cc08hd78v30	5	16	boundary	boundary	ADJ
cc08hd78v30	5	17	complex	complex	NOUN
cc08hd78v30	5	18	.	.	PUNCT